Atkin-Lehner |
3+ 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
125913c |
Isogeny class |
Conductor |
125913 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3709440 |
Modular degree for the optimal curve |
Δ |
1212018302370296661 = 3 · 192 · 479 |
Discriminant |
Eigenvalues |
-2 3+ 3 1 5 4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-292324,-29821848] |
[a1,a2,a3,a4,a6] |
Generators |
[13740:1609256:1] |
Generators of the group modulo torsion |
j |
256289886208/112440309 |
j-invariant |
L |
4.8064708603933 |
L(r)(E,1)/r! |
Ω |
0.213763374049 |
Real period |
R |
2.8106258636887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998291916 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2679b1 |
Quadratic twists by: -47 |