Atkin-Lehner |
3- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
112659k |
Isogeny class |
Conductor |
112659 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
3108864 |
Modular degree for the optimal curve |
Δ |
2.593681535107E+19 |
Discriminant |
Eigenvalues |
0 3- 1 3 -1 6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3868695,-2919856957] |
[a1,a2,a3,a4,a6] |
j |
594059784454144/2406187701 |
j-invariant |
L |
4.7376927423582 |
L(r)(E,1)/r! |
Ω |
0.10767484078589 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2397d1 |
Quadratic twists by: -47 |