Atkin-Lehner |
3+ 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111573n |
Isogeny class |
Conductor |
111573 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
15740928 |
Modular degree for the optimal curve |
Δ |
-6.3047641629316E+23 |
Discriminant |
Eigenvalues |
2 3+ -2 7- 11- 3 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-13808151,-43005470083] |
[a1,a2,a3,a4,a6] |
j |
-52367109451776/113395848049 |
j-invariant |
L |
4.6955009679871 |
L(r)(E,1)/r! |
Ω |
0.036683600405215 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111573e1 111573b1 |
Quadratic twists by: -3 -7 |