Cremona's table of elliptic curves

208 = 2⁴ · 13

Field	Data	Notes
Atkin-Lehner	2- 13+	Signs for the Atkin-Lehner involutions
Class	208d	Isogeny class
Conductor	208	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-514035851264 = -1 · 213 · 137	Discriminant
Eigenvalues	2-  3 -1 -1  2 13+ -3 -6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-3403,83834]	[a1,a2,a3,a4,a6]
j	-1064019559329/125497034	j-invariant
L	1.8040571933816	L(r)(E,1)/r!
Ω	0.90202859669078	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	26b2 832j2 1872n2 5200bc2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 208d2

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
-	3	-1	-1	2	+	-3	-6	4	2	-4	3	0	5	-13	12	10	-8	2	5	-10	4	0	6	14

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Quadratic twists for elliptic curve 208d2

-4	8	-3	5	-7	-11	13	17	-19	-23
26b2	832j2	1872n2	5200bc2	10192bn2	25168bp2	2704j2	60112w2	75088bj2	110032o2

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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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