Atkin-Lehner |
2- 3- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
9372g |
Isogeny class |
Conductor |
9372 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-8695604016 = -1 · 24 · 34 · 113 · 712 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- 0 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,231,4356] |
[a1,a2,a3,a4,a6] |
Generators |
[0:66:1] |
Generators of the group modulo torsion |
j |
84831715328/543475251 |
j-invariant |
L |
4.7596351342507 |
L(r)(E,1)/r! |
Ω |
0.94567019864315 |
Real period |
R |
0.83884690827024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37488m1 28116d1 103092m1 |
Quadratic twists by: -4 -3 -11 |