Atkin-Lehner |
3- 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
128877q |
Isogeny class |
Conductor |
128877 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
8616029692221 = 34 · 7 · 17 · 197 |
Discriminant |
Eigenvalues |
2 3- 3 7- -2 -1 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5174,-25795] |
[a1,a2,a3,a4,a6] |
j |
325660672/183141 |
j-invariant |
L |
9.6911914944503 |
L(r)(E,1)/r! |
Ω |
0.60569952176939 |
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 |
6783a1 |
Quadratic twists by: -19 |