Atkin-Lehner |
5- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
45815s |
Isogeny class |
Conductor |
45815 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
527040 |
Modular degree for the optimal curve |
Δ |
616264005260365 = 5 · 72 · 116 · 175 |
Discriminant |
Eigenvalues |
2 1 5- 7- 11+ -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1202840,507359521] |
[a1,a2,a3,a4,a6] |
j |
3927820017083104006144/12576816433885 |
j-invariant |
L |
4.487715992092 |
L(r)(E,1)/r! |
Ω |
0.44877159926663 |
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 |
45815b1 |
Quadratic twists by: -7 |