Cremona's table of elliptic curves

6650 = 2 · 5² · 7 · 19

Field	Data	Notes
Atkin-Lehner	2- 5- 7- 19-	Signs for the Atkin-Lehner involutions
Class	6650bh	Isogeny class
Conductor	6650	Conductor
∏ cp	216	Product of Tamagawa factors cp
Δ	1.7709100854112E+19	Discriminant
Eigenvalues	2-  1 5- 7-  3 -7 -6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-746288,-143531008]	[a1,a2,a3,a4,a6]
Generators	[-214:2634:1]	Generators of the group modulo torsion
j	73546685675688065425/28334561366578432	j-invariant
L	6.9093239279497	L(r)(E,1)/r!
Ω	0.16781962400196	Real period
R	0.19060709358503	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	53200dd2 59850dm2 6650b2 46550cw2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6650bh2

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
-	1	-	-	3	-7	-6	-	0	-6	5	-10	9	-1	-6	6	3	-10	2	-12	-4	-4	-18	-15	17

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Quadratic twists for elliptic curve 6650bh2

-4	-3	5	-7	-19
53200dd2	59850dm2	6650b2	46550cw2	126350bv2

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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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