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	1496c	Isogeny class
Conductor	1496	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	544	Modular degree for the optimal curve
Δ	2106368 = 210 · 112 · 17	Discriminant
Eigenvalues	2+  0  4  2 11- -2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-683,6870]	[a1,a2,a3,a4,a6]
j	34410094596/2057	j-invariant
L	2.4721530895021	L(r)(E,1)/r!
Ω	2.4721530895021	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2992a1 11968a1 13464p1 37400t1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1496c1

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	4	2	-	-2	+	4	2	8	10	-8	-2	-4	-8	-6	12	-12	12	6	10	-2	-4	6	-10

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Quadratic twists for elliptic curve 1496c1

-4	8	-3	5	-7	-11	17
2992a1	11968a1	13464p1	37400t1	73304t1	16456n1	25432b1

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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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