Atkin-Lehner |
2- 3+ 5+ 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
122130bi |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
99340032 |
Modular degree for the optimal curve |
Δ |
-9.4638823242187E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 5 -1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4972599158,-134965231193723] |
[a1,a2,a3,a4,a6] |
j |
-503628506506169693949995638037667/3505141601562500000000000 |
j-invariant |
L |
4.7463240262509 |
L(r)(E,1)/r! |
Ω |
0.0089892511567223 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122130d1 |
Quadratic twists by: -3 |