Cremona's table of elliptic curves

34650 = 2 · 3² · 5² · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7- 11-	Signs for the Atkin-Lehner involutions
Class	34650do	Isogeny class
Conductor	34650	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	136734171217875000 = 23 · 36 · 56 · 7 · 118	Discriminant
Eigenvalues	2- 3- 5+ 7- 11- -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-135830,-7365203]	[a1,a2,a3,a4,a6]
Generators	[419:2815:1]	Generators of the group modulo torsion
j	24331017010833/12004097336	j-invariant
L	9.1189297697803	L(r)(E,1)/r!
Ω	0.26155870666269	Real period
R	0.72632911349454	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	3850f4 1386c3	Quadratic twists by: -3 5

Hecke Eigenvalues for elliptic curve 34650do3

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	2	0	-8	2	-8	2	-10	-4	8	6	0	10	12	-16	14	0	0	6	-10

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Quadratic twists for elliptic curve 34650do3

-3	5
3850f4	1386c3

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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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