Atkin-Lehner |
3- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
112659g |
Isogeny class |
Conductor |
112659 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
462443520 |
Modular degree for the optimal curve |
Δ |
2.038127393433E+32 |
Discriminant |
Eigenvalues |
0 3- -3 3 3 -6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-27139772527,1577879539852792] |
[a1,a2,a3,a4,a6] |
Generators |
[49052:19095700:1] |
Generators of the group modulo torsion |
j |
205095047944763221180383232/18907938390930371630541 |
j-invariant |
L |
5.3748024603283 |
L(r)(E,1)/r! |
Ω |
0.017359651273751 |
Real period |
R |
4.5531566664177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000092119 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2397b1 |
Quadratic twists by: -47 |