Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3234c |
Isogeny class |
Conductor |
3234 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-1.3005549806511E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11+ -6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-82100,-1735149744] |
[a1,a2,a3,a4,a6] |
j |
-520203426765625/11054534935707648 |
j-invariant |
L |
0.55722330647546 |
L(r)(E,1)/r! |
Ω |
0.069652913309432 |
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 |
25872cx1 103488dt1 9702cc1 80850ge1 |
Quadratic twists by: -4 8 -3 5 |