Cremona's table of elliptic curves

3496 = 2³ · 19 · 23

Field	Data	Notes
Atkin-Lehner	2+ 19- 23+	Signs for the Atkin-Lehner involutions
Class	3496d	Isogeny class
Conductor	3496	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-5444586496 = -1 · 210 · 19 · 234	Discriminant
Eigenvalues	2+  0 -2  0 -4 -2 -6 19-	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,229,-3290]	[a1,a2,a3,a4,a6]
j	1296970812/5316979	j-invariant
L	0.68672344470419	L(r)(E,1)/r!
Ω	0.68672344470419	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	6992d4 27968a3 31464m3 87400n3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3496d4

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	-2	0	-4	-2	-6	-	+	6	4	-6	10	4	0	2	8	6	-12	12	10	-8	12	-2	-18

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Quadratic twists for elliptic curve 3496d4

-4	8	-3	5	-19	-23
6992d4	27968a3	31464m3	87400n3	66424h3	80408a3

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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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