Atkin-Lehner |
2+ 3- 5+ 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
122130u |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-27043703887500 = -1 · 22 · 313 · 55 · 23 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -2 -3 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7065,-103559] |
[a1,a2,a3,a4,a6] |
j |
53493141597839/37096987500 |
j-invariant |
L |
1.5085427564975 |
L(r)(E,1)/r! |
Ω |
0.37713578910065 |
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 |
40710u1 |
Quadratic twists by: -3 |