Atkin-Lehner |
3+ 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
125913a |
Isogeny class |
Conductor |
125913 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6676992 |
Modular degree for the optimal curve |
Δ |
6.4353233800308E+20 |
Discriminant |
Eigenvalues |
2 3+ 3 1 -3 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2390874,732280943] |
[a1,a2,a3,a4,a6] |
j |
140218983313408/59701222989 |
j-invariant |
L |
4.6809227520077 |
L(r)(E,1)/r! |
Ω |
0.14627884521821 |
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 |
2679c1 |
Quadratic twists by: -47 |