Atkin-Lehner |
2+ 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
129850bg |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
42774823420000 = 25 · 54 · 79 · 53 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 4 -5 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-127425,17451925] |
[a1,a2,a3,a4,a6] |
j |
3111893366425/581728 |
j-invariant |
L |
1.2461144139757 |
L(r)(E,1)/r! |
Ω |
0.62305716755649 |
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 |
129850bx1 18550f1 |
Quadratic twists by: 5 -7 |