Atkin-Lehner |
5- 11- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
120175q |
Isogeny class |
Conductor |
120175 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
118080 |
Modular degree for the optimal curve |
Δ |
35676953125 = 58 · 11 · 192 · 23 |
Discriminant |
Eigenvalues |
0 -1 5- 1 11- -6 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-9083,-330057] |
[a1,a2,a3,a4,a6] |
Generators |
[-1491:224:27] |
Generators of the group modulo torsion |
j |
212177551360/91333 |
j-invariant |
L |
4.1338794595027 |
L(r)(E,1)/r! |
Ω |
0.48904571887705 |
Real period |
R |
1.408825173018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998607573 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120175j1 |
Quadratic twists by: 5 |