Atkin-Lehner |
2+ 5+ 23- 79- |
Signs for the Atkin-Lehner involutions |
Class |
90850f |
Isogeny class |
Conductor |
90850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
396288 |
Modular degree for the optimal curve |
Δ |
-14536000000000 = -1 · 212 · 59 · 23 · 79 |
Discriminant |
Eigenvalues |
2+ 2 5+ -5 3 -2 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,5750,76500] |
[a1,a2,a3,a4,a6] |
Generators |
[36:558:1] |
Generators of the group modulo torsion |
j |
1345207252319/930304000 |
j-invariant |
L |
4.5253216329481 |
L(r)(E,1)/r! |
Ω |
0.44384747570963 |
Real period |
R |
2.5489170696359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009599 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18170d1 |
Quadratic twists by: 5 |