Atkin-Lehner |
3- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
129591m |
Isogeny class |
Conductor |
129591 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
304640 |
Modular degree for the optimal curve |
Δ |
-158141544272019 = -1 · 37 · 74 · 116 · 17 |
Discriminant |
Eigenvalues |
0 3- -1 7+ 11- 5 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5808,-628565] |
[a1,a2,a3,a4,a6] |
j |
-16777216/122451 |
j-invariant |
L |
0.96843687679669 |
L(r)(E,1)/r! |
Ω |
0.24210931850137 |
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 |
43197a1 1071c1 |
Quadratic twists by: -3 -11 |