Cremona's table of elliptic curves

13650 = 2 · 3 · 5² · 7 · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7- 13-	Signs for the Atkin-Lehner involutions
Class	13650cv	Isogeny class
Conductor	13650	Conductor
∏ cp	3072	Product of Tamagawa factors cp
Δ	1.551765998601E+20	Discriminant
Eigenvalues	2- 3- 5+ 7- -4 13- -6  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-2135963,-1041569583]	[a1,a2,a3,a4,a6]
Generators	[-938:12169:1]	Generators of the group modulo torsion
j	68973914606086620649/9931302391046400	j-invariant
L	8.4768865705713	L(r)(E,1)/r!
Ω	0.12608144721052	Real period
R	0.35017404911822	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	109200di2 40950bs2 2730a2 95550gw2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 13650cv2

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

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Quadratic twists for elliptic curve 13650cv2

-4	-3	5	-7
109200di2	40950bs2	2730a2	95550gw2

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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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