Atkin-Lehner |
2- 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
12342w |
Isogeny class |
Conductor |
12342 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
1.4579855261213E+19 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11- -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-806649,-210119865] |
[a1,a2,a3,a4,a6] |
j |
32765849647039657/8229948198912 |
j-invariant |
L |
1.9469180526597 |
L(r)(E,1)/r! |
Ω |
0.16224317105498 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
98736dl1 37026j1 1122c1 |
Quadratic twists by: -4 -3 -11 |