Atkin-Lehner |
3- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
125913g |
Isogeny class |
Conductor |
125913 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
149040 |
Modular degree for the optimal curve |
Δ |
614415273753 = 3 · 19 · 476 |
Discriminant |
Eigenvalues |
1 3- 2 0 0 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3360,64489] |
[a1,a2,a3,a4,a6] |
j |
389017/57 |
j-invariant |
L |
0.43877467086191 |
L(r)(E,1)/r! |
Ω |
0.87755060527653 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57b2 |
Quadratic twists by: -47 |