Atkin-Lehner |
2- 3- 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
104370dg |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
2107392 |
Modular degree for the optimal curve |
Δ |
257859548730000000 = 27 · 32 · 57 · 79 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 5 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-257986,-44145340] |
[a1,a2,a3,a4,a6] |
j |
47057610864727/6390000000 |
j-invariant |
L |
5.9847726358005 |
L(r)(E,1)/r! |
Ω |
0.21374187445919 |
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 |
104370cs1 |
Quadratic twists by: -7 |