Atkin-Lehner |
2+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
126350j |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
314640000 |
Modular degree for the optimal curve |
Δ |
2.1185203658483E+23 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7+ 3 3 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-40157569492,-3097403860376084] |
[a1,a2,a3,a4,a6] |
Generators |
[58089660457728788741060825974957301702364:20443262265972492344909354202757074030142502:196552103322639144122832498312788703] |
Generators of the group modulo torsion |
j |
2272707362766267675/67228 |
j-invariant |
L |
2.6594558966186 |
L(r)(E,1)/r! |
Ω |
0.010664922399945 |
Real period |
R |
62.341191920726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126350do1 126350cg1 |
Quadratic twists by: 5 -19 |