Atkin-Lehner |
2+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
78400dm |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
31470387200000000 = 225 · 58 · 74 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 2 0 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-171500,-25970000] |
[a1,a2,a3,a4,a6] |
j |
2268945/128 |
j-invariant |
L |
0.94171401363754 |
L(r)(E,1)/r! |
Ω |
0.23542850400158 |
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 |
78400jh1 2450ba1 78400a1 78400ec1 |
Quadratic twists by: -4 8 5 -7 |