Cremona's table of elliptic curves

91035 = 3² · 5 · 7 · 17²

Field	Data	Notes
Atkin-Lehner	3- 5- 7- 17-	Signs for the Atkin-Lehner involutions
Class	91035by	Isogeny class
Conductor	91035	Conductor
∏ cp	104	Product of Tamagawa factors cp
deg	5151744	Modular degree for the optimal curve
Δ	1.6060828316418E+21	Discriminant
Eigenvalues	-2 3- 5- 7- -3  0 17-  1	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-5384937,-4406307210]	[a1,a2,a3,a4,a6]
Generators	[-1402:19687:1]	Generators of the group modulo torsion
j	283623608680689664/26378173828125	j-invariant
L	3.7988268239165	L(r)(E,1)/r!
Ω	0.099697592069612	Real period
R	0.36637977266483	Regulator
r	1	Rank of the group of rational points
S	0.99999999675591	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	30345bb1 91035p1	Quadratic twists by: -3 17

Hecke Eigenvalues for elliptic curve 91035by1

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	-	-	-	-3	0	-	1	6	5	0	6	1	-2	2	-6	-1	13	0	-3	8	3	-10	-15	-6

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Quadratic twists for elliptic curve 91035by1

-3	17
30345bb1	91035p1

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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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