Atkin-Lehner |
2- 3+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
92352bp |
Isogeny class |
Conductor |
92352 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
5745033216 = 214 · 36 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -6 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-497,2385] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:80:1] |
Generators of the group modulo torsion |
j |
830321872/350649 |
j-invariant |
L |
4.8705123369199 |
L(r)(E,1)/r! |
Ω |
1.2198478328641 |
Real period |
R |
1.9963606133165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002835 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92352t1 23088j1 |
Quadratic twists by: -4 8 |