Atkin-Lehner |
2+ 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
12342q |
Isogeny class |
Conductor |
12342 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
1318936631721984 = 214 · 35 · 117 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11- 4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-109387,-13824010] |
[a1,a2,a3,a4,a6] |
j |
81706955619457/744505344 |
j-invariant |
L |
2.626621039121 |
L(r)(E,1)/r! |
Ω |
0.2626621039121 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98736cr1 37026bd1 1122i1 |
Quadratic twists by: -4 -3 -11 |