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	64	Product of Tamagawa factors cp
Δ	-17279298183168 = -1 · 213 · 316 · 72	Discriminant
Eigenvalues	2- 3- -2 7-  4  6  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,6176,-69388]	[a1,a2,a3,a4,a6]
j	6359387729183/4218578658	j-invariant
L	1.5769867712158	L(r)(E,1)/r!
Ω	0.39424669280395	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	42a6 1344m6 1008l6 8400bl6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 336d6

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 336d6

-4	8	-3	5	-7	-11	13	17	-19
42a6	1344m6	1008l6	8400bl6	2352o6	40656co5	56784cn5	97104bj5	121296cj5

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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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