Atkin-Lehner |
3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50715x |
Isogeny class |
Conductor |
50715 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
-1398357821807480835 = -1 · 316 · 5 · 710 · 23 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -2 -4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,100842,55542933] |
[a1,a2,a3,a4,a6] |
j |
550731776/6790635 |
j-invariant |
L |
0.39903725083098 |
L(r)(E,1)/r! |
Ω |
0.19951862531815 |
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 |
16905y1 50715bj1 |
Quadratic twists by: -3 -7 |