Atkin-Lehner |
2+ 3- 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
104370bc |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
-149128030800 = -1 · 24 · 37 · 52 · 74 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 0 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-382814,-91197088] |
[a1,a2,a3,a4,a6] |
j |
-2584005046930125049/62110800 |
j-invariant |
L |
2.6870807403561 |
L(r)(E,1)/r! |
Ω |
0.095967181775629 |
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 |
104370m1 |
Quadratic twists by: -7 |