Cremona's table of elliptic curves

336 = 2⁴ · 3 · 7

Field	Data	Notes
Atkin-Lehner	2- 3- 7-	Signs for the Atkin-Lehner involutions
Class	336d	Isogeny class
Conductor	336	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	96	Modular degree for the optimal curve
Δ	-66060288 = -1 · 220 · 32 · 7	Discriminant
Eigenvalues	2- 3- -2 7-  4  6  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-64,-460]	[a1,a2,a3,a4,a6]
j	-7189057/16128	j-invariant
L	1.5769867712158	L(r)(E,1)/r!
Ω	0.78849338560791	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	42a1 1344m1 1008l1 8400bl1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 336d1

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
-	-	-2	-	4	6	2	4	-8	-2	0	-10	-6	4	0	6	-4	6	-4	-8	10	0	4	-6	-14

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Quadratic twists for elliptic curve 336d1

-4	8	-3	5	-7	-11	13	17	-19
42a1	1344m1	1008l1	8400bl1	2352o1	40656co1	56784cn1	97104bj1	121296cj1

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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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