Atkin-Lehner |
2+ 3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
22770o |
Isogeny class |
Conductor |
22770 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
26188800 |
Modular degree for the optimal curve |
Δ |
2.136690442921E+29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1525889655,5633746925661] |
[a1,a2,a3,a4,a6] |
j |
538971213337107320355935687281/293098826189439777893253120 |
j-invariant |
L |
1.6515941227627 |
L(r)(E,1)/r! |
Ω |
0.027526568712713 |
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 |
7590x1 113850en1 |
Quadratic twists by: -3 5 |