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	336c	Isogeny class
Conductor	336	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	3809369088 = 210 · 312 · 7	Discriminant
Eigenvalues	2+ 3-  2 7+  0  6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-392,228]	[a1,a2,a3,a4,a6]
j	6522128932/3720087	j-invariant
L	1.7973460584931	L(r)(E,1)/r!
Ω	1.1982307056621	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	168b3 1344l4 1008e3 8400f4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 336c4

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	+	0	6	-2	-4	4	-10	8	6	-2	4	-8	-10	-12	-2	-12	12	-14	8	-12	-2	10

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Quadratic twists for elliptic curve 336c4

-4	8	-3	5	-7	-11	13	17	-19
168b3	1344l4	1008e3	8400f4	2352d3	40656bb3	56784v3	97104g3	121296f3

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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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