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	336a	Isogeny class
Conductor	336	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	1306368 = 28 · 36 · 7	Discriminant
Eigenvalues	2- 3+  0 7+  6  2  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-28,28]	[a1,a2,a3,a4,a6]
j	9826000/5103	j-invariant
L	1.1949390886861	L(r)(E,1)/r!
Ω	2.3898781773722	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	84a2 1344p2 1008j2 8400ci2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 336a2

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

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Quadratic twists for elliptic curve 336a2

-4	8	-3	5	-7	-11	13	17	-19
84a2	1344p2	1008j2	8400ci2	2352t2	40656br2	56784bw2	97104co2	121296cm2

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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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