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	128	Product of Tamagawa factors cp
Δ	3825245233152 = 213 · 34 · 78	Discriminant
Eigenvalues	2- 3- -2 7-  4  6  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-14624,669300]	[a1,a2,a3,a4,a6]
j	84448510979617/933897762	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	8	Number of elements in the torsion subgroup
Twists	42a5 1344m5 1008l5 8400bl5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 336d5

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 336d5

-4	8	-3	5	-7	-11	13	17	-19
42a5	1344m5	1008l5	8400bl5	2352o5	40656co6	56784cn6	97104bj6	121296cj6

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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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