Atkin-Lehner |
2- 3+ 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
70350ch |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
114048 |
Modular degree for the optimal curve |
Δ |
-1113298036200 = -1 · 23 · 311 · 52 · 7 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 3 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1037,-48679] |
[a1,a2,a3,a4,a6] |
j |
4932803294375/44531921448 |
j-invariant |
L |
2.5836167088419 |
L(r)(E,1)/r! |
Ω |
0.43060278396224 |
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 |
70350bf1 |
Quadratic twists by: 5 |