Cremona's table of elliptic curves

1496 = 2³ · 11 · 17

Field	Data	Notes
Atkin-Lehner	2+ 11+ 17+	Signs for the Atkin-Lehner involutions
Class	1496a	Isogeny class
Conductor	1496	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-723759406548992 = -1 · 211 · 114 · 176	Discriminant
Eigenvalues	2+  0  0 -2 11+  6 17+  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-198115,-33965634]	[a1,a2,a3,a4,a6]
Generators	[1233727892701850:-52025012504946294:651939895711]	Generators of the group modulo torsion
j	-419899962807227250/353398147729	j-invariant
L	2.6486805379631	L(r)(E,1)/r!
Ω	0.11314055380634	Real period
R	23.410531846051	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2992b2 11968e2 13464r2 37400p2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1496a2

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	0	0	-2	+	6	+	4	-2	4	-10	-4	-2	-12	-8	2	-4	-8	4	-6	-14	2	4	6	14

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Quadratic twists for elliptic curve 1496a2

-4	8	-3	5	-7	-11	17
2992b2	11968e2	13464r2	37400p2	73304k2	16456j2	25432i2

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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