Atkin-Lehner |
3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
11925x |
Isogeny class |
Conductor |
11925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
456960 |
Modular degree for the optimal curve |
Δ |
1222498828125 = 310 · 58 · 53 |
Discriminant |
Eigenvalues |
0 3- 5- -3 -3 -2 7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-44382000,113804233281] |
[a1,a2,a3,a4,a6] |
j |
33951327224426659840/4293 |
j-invariant |
L |
0.68156732997543 |
L(r)(E,1)/r! |
Ω |
0.34078366498772 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3975l1 11925j1 |
Quadratic twists by: -3 5 |