Atkin-Lehner |
2+ 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
71400bi |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
130 |
Product of Tamagawa factors cp |
deg |
1572480 |
Modular degree for the optimal curve |
Δ |
-1.9877190667038E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 0 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1796408,950637408] |
[a1,a2,a3,a4,a6] |
Generators |
[2284:93636:1] |
Generators of the group modulo torsion |
j |
-25043725212662522500/776452760431173 |
j-invariant |
L |
7.1547211930462 |
L(r)(E,1)/r! |
Ω |
0.21553967561201 |
Real period |
R |
0.25534193049523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000091 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71400df1 |
Quadratic twists by: 5 |