Atkin-Lehner |
2- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
78400jh |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
12 |
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] |
Generators |
[154:1792:1] |
Generators of the group modulo torsion |
j |
2268945/128 |
j-invariant |
L |
4.5884394992324 |
L(r)(E,1)/r! |
Ω |
0.36492512337812 |
Real period |
R |
1.0478038740434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006748 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400dm1 19600dd1 78400fw1 78400kb1 |
Quadratic twists by: -4 8 5 -7 |