Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
129960cn |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
156391799455440 = 24 · 37 · 5 · 197 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-309738,-66347107] |
[a1,a2,a3,a4,a6] |
j |
5988775936/285 |
j-invariant |
L |
1.618982383503 |
L(r)(E,1)/r! |
Ω |
0.2023728148068 |
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 |
43320l1 6840f1 |
Quadratic twists by: -3 -19 |