Atkin-Lehner |
2- 3+ 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
119280bo |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
237445447680 = 217 · 36 · 5 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 3 -3 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25040,-1516608] |
[a1,a2,a3,a4,a6] |
j |
423920170996561/57970080 |
j-invariant |
L |
3.0362193321036 |
L(r)(E,1)/r! |
Ω |
0.37952736205106 |
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 |
14910bm1 |
Quadratic twists by: -4 |