Atkin-Lehner |
3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50715bb |
Isogeny class |
Conductor |
50715 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
639395437497705 = 39 · 5 · 710 · 23 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-35730,-2288385] |
[a1,a2,a3,a4,a6] |
j |
58818484369/7455105 |
j-invariant |
L |
1.4005733206631 |
L(r)(E,1)/r! |
Ω |
0.35014333016542 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16905z1 7245p1 |
Quadratic twists by: -3 -7 |