Atkin-Lehner |
2+ 3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113850cw |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-55792192500 = -1 · 22 · 36 · 54 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- 0 5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,858,-6184] |
[a1,a2,a3,a4,a6] |
Generators |
[28:-212:1] |
Generators of the group modulo torsion |
j |
153212175/122452 |
j-invariant |
L |
6.0934436110269 |
L(r)(E,1)/r! |
Ω |
0.62028729492967 |
Real period |
R |
0.81863189003093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000137363 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12650x1 113850er1 |
Quadratic twists by: -3 5 |