Atkin-Lehner |
2+ 3- 7- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
112518p |
Isogeny class |
Conductor |
112518 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
2480640 |
Modular degree for the optimal curve |
Δ |
2101672886533226496 = 217 · 39 · 7 · 195 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -2 -5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-529173,-130588043] |
[a1,a2,a3,a4,a6] |
j |
22479656807551808593/2882953205121024 |
j-invariant |
L |
1.785056892515 |
L(r)(E,1)/r! |
Ω |
0.17850567538626 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37506u1 |
Quadratic twists by: -3 |