Atkin-Lehner |
2- 3- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
119520r |
Isogeny class |
Conductor |
119520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
23525121600 = 26 · 311 · 52 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 6 4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-242013,-45825388] |
[a1,a2,a3,a4,a6] |
j |
33599459836909504/504225 |
j-invariant |
L |
3.4439738257403 |
L(r)(E,1)/r! |
Ω |
0.21524837489898 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119520e1 39840c1 |
Quadratic twists by: -4 -3 |