Cremona's table of elliptic curves

5202 = 2 · 3² · 17²

Field	Data	Notes
Atkin-Lehner	2- 3- 17+	Signs for the Atkin-Lehner involutions
Class	5202h	Isogeny class
Conductor	5202	Conductor
∏ cp	144	Product of Tamagawa factors cp
Δ	2.0396246504487E+20	Discriminant
Eigenvalues	2- 3-  0 -2  0  2 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-1952105,794166441]	[a1,a2,a3,a4,a6]
Generators	[387:9632:1]	Generators of the group modulo torsion
j	46753267515625/11591221248	j-invariant
L	5.4292045493538	L(r)(E,1)/r!
Ω	0.16721263577722	Real period
R	0.90191292530656	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	41616bx3 1734b3 306a3	Quadratic twists by: -4 -3 17

Hecke Eigenvalues for elliptic curve 5202h3

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	0	2	+	-4	-6	0	10	-8	6	-4	-12	-6	12	-8	-4	6	-2	10	-12	18	-14

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Quadratic twists for elliptic curve 5202h3

-4	-3	17
41616bx3	1734b3	306a3

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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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