Cremona's table of elliptic curves

35574 = 2 · 3 · 7² · 11²

Field	Data	Notes
Atkin-Lehner	2- 3+ 7+ 11-	Signs for the Atkin-Lehner involutions
Class	35574bq	Isogeny class
Conductor	35574	Conductor
∏ cp	192	Product of Tamagawa factors cp
deg	1612800	Modular degree for the optimal curve
Δ	-1.7890369914088E+21	Discriminant
Eigenvalues	2- 3+  0 7+ 11- -4  1  3	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-1603918,-2180707957]	[a1,a2,a3,a4,a6]
Generators	[3009:140791:1]	Generators of the group modulo torsion
j	-44681709625/175177728	j-invariant
L	7.173428110305	L(r)(E,1)/r!
Ω	0.061265868016405	Real period
R	0.6098273957559	Regulator
r	1	Rank of the group of rational points
S	1.0000000000001	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	106722br1 35574cy1 3234a1	Quadratic twists by: -3 -7 -11

Hecke Eigenvalues for elliptic curve 35574bq1

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
-	+	0	+	-	-4	1	3	-1	1	6	-3	6	-1	-1	0	7	-6	-4	-15	-12	0	16	-8	7

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Quadratic twists for elliptic curve 35574bq1

-3	-7	-11
106722br1	35574cy1	3234a1

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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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