Atkin-Lehner |
5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
89425bb |
Isogeny class |
Conductor |
89425 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-760984114296875 = -1 · 57 · 73 · 734 |
Discriminant |
Eigenvalues |
-2 1 5+ 7- 5 -3 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,6592,1313344] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:912:1] |
Generators of the group modulo torsion |
j |
5910106112/141991205 |
j-invariant |
L |
3.9005297952663 |
L(r)(E,1)/r! |
Ω |
0.37884919127558 |
Real period |
R |
0.32174162810009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040746 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17885f1 89425v1 |
Quadratic twists by: 5 -7 |