Cremona's table of elliptic curves

7208 = 2³ · 17 · 53

Field	Data	Notes
Atkin-Lehner	2+ 17+ 53+	Signs for the Atkin-Lehner involutions
Class	7208a	Isogeny class
Conductor	7208	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	12224768 = 28 · 17 · 532	Discriminant
Eigenvalues	2+  2  0 -4  0  2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-108,-364]	[a1,a2,a3,a4,a6]
Generators	[470:10176:1]	Generators of the group modulo torsion
j	549250000/47753	j-invariant
L	5.1876691265283	L(r)(E,1)/r!
Ω	1.4880265164967	Real period
R	3.4862746523777	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	14416a2 57664i2 64872k2 122536a2	Quadratic twists by: -4 8 -3 17

Hecke Eigenvalues for elliptic curve 7208a2

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	-4	0	2	+	4	-6	6	10	-2	4	4	0	+	-4	-8	-12	6	-8	-10	-12	-10	-18

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Quadratic twists for elliptic curve 7208a2

-4	8	-3	17
14416a2	57664i2	64872k2	122536a2

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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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