Atkin-Lehner |
2- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
68200q |
Isogeny class |
Conductor |
68200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4644864 |
Modular degree for the optimal curve |
Δ |
1.0058539289111E+23 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 11+ 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12493783,7484746938] |
[a1,a2,a3,a4,a6] |
j |
862711553000150800384/402341571564453125 |
j-invariant |
L |
0.38024388408758 |
L(r)(E,1)/r! |
Ω |
0.095060971416514 |
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 |
13640c1 |
Quadratic twists by: 5 |