Atkin-Lehner |
3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
95139i |
Isogeny class |
Conductor |
95139 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
52531200 |
Modular degree for the optimal curve |
Δ |
2.4968649001982E+27 |
Discriminant |
Eigenvalues |
-1 3- 2 -2 11- -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-869410634,9569861629760] |
[a1,a2,a3,a4,a6] |
j |
112331320422638310937/3859200593875737 |
j-invariant |
L |
0.45463524046767 |
L(r)(E,1)/r! |
Ω |
0.045463536305528 |
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 |
31713d1 3069a1 |
Quadratic twists by: -3 -31 |