Atkin-Lehner |
3- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111573bn |
Isogeny class |
Conductor |
111573 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
63261891 = 36 · 73 · 11 · 23 |
Discriminant |
Eigenvalues |
1 3- -1 7- 11- 1 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1395,-19706] |
[a1,a2,a3,a4,a6] |
Generators |
[366:643:8] |
Generators of the group modulo torsion |
j |
1201157047/253 |
j-invariant |
L |
7.216460321633 |
L(r)(E,1)/r! |
Ω |
0.78117241652232 |
Real period |
R |
4.6189932834661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043431 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12397d1 111573bm1 |
Quadratic twists by: -3 -7 |