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	6650c	Isogeny class
Conductor	6650	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	-91899882812500 = -1 · 22 · 510 · 73 · 193	Discriminant
Eigenvalues	2+  2 5+ 7+  0  1  6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,10925,-135375]	[a1,a2,a3,a4,a6]
j	14764742975/9410548	j-invariant
L	2.0733875650459	L(r)(E,1)/r!
Ω	0.34556459417432	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	53200ci2 59850eq2 6650bj2 46550m2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6650c2

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	1	6	-	-6	6	-10	-2	3	4	9	6	-6	8	13	15	-2	8	3	-9	10

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Quadratic twists for elliptic curve 6650c2

-4	-3	5	-7	-19
53200ci2	59850eq2	6650bj2	46550m2	126350cn2

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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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