Atkin-Lehner |
3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36225bo |
Isogeny class |
Conductor |
36225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
92840712890625 = 310 · 510 · 7 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-63005,-6053628] |
[a1,a2,a3,a4,a6] |
Generators |
[290:-114:1] |
Generators of the group modulo torsion |
j |
2428257525121/8150625 |
j-invariant |
L |
2.9993917964466 |
L(r)(E,1)/r! |
Ω |
0.301400515057 |
Real period |
R |
4.9757575826958 |
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 |
12075i1 7245i1 |
Quadratic twists by: -3 5 |