Cremona's table of elliptic curves

22620 = 2² · 3 · 5 · 13 · 29

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 13- 29+	Signs for the Atkin-Lehner involutions
Class	22620k	Isogeny class
Conductor	22620	Conductor
∏ cp	216	Product of Tamagawa factors cp
Δ	-185927822496000 = -1 · 28 · 312 · 53 · 13 · 292	Discriminant
Eigenvalues	2- 3- 5- -4  0 13-  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,1620,656100]	[a1,a2,a3,a4,a6]
Generators	[-72:414:1]	Generators of the group modulo torsion
j	1835526588464/726280556625	j-invariant
L	5.8613969900185	L(r)(E,1)/r!
Ω	0.44135274764895	Real period
R	2.2134211320543	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	90480bj2 67860n2 113100c2	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 22620k2

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

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Quadratic twists for elliptic curve 22620k2

-4	-3	5
90480bj2	67860n2	113100c2

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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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