Cremona's table of elliptic curves

208 = 2⁴ · 13

Field	Data	Notes
Atkin-Lehner	2- 13+	Signs for the Atkin-Lehner involutions
Class	208c	Isogeny class
Conductor	208	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	208 = 24 · 13	Discriminant
Eigenvalues	2-  0  2  2  2 13+  6  6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-4,3]	[a1,a2,a3,a4,a6]
j	442368/13	j-invariant
L	1.401157418136	L(r)(E,1)/r!
Ω	5.6046296725438	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	52a2 832h1 1872o1 5200v1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 208c2

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	2	2	2	+	6	6	-8	2	-10	-6	-6	-4	2	6	10	-2	-10	-10	2	4	6	-6	2

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Quadratic twists for elliptic curve 208c2

-4	8	-3	5	-7	-11	13	17	-19	-23
52a2	832h1	1872o1	5200v1	10192be1	25168be1	2704f1	60112m1	75088x1	110032g1

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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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