Atkin-Lehner |
2+ 3+ 5- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
66330f |
Isogeny class |
Conductor |
66330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
10948608 |
Modular degree for the optimal curve |
Δ |
4.1743940649191E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 11+ -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-158076699,-764877004507] |
[a1,a2,a3,a4,a6] |
j |
22194021174752313375023907/2120811901091840000 |
j-invariant |
L |
0.34062385834953 |
L(r)(E,1)/r! |
Ω |
0.04257798259884 |
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 |
66330bb1 |
Quadratic twists by: -3 |