Atkin-Lehner |
2- 5- 31- 61- |
Signs for the Atkin-Lehner involutions |
Class |
18910g |
Isogeny class |
Conductor |
18910 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-595476807680 = -1 · 216 · 5 · 313 · 61 |
Discriminant |
Eigenvalues |
2- -1 5- -3 0 -3 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,945,35797] |
[a1,a2,a3,a4,a6] |
Generators |
[155:1906:1] |
Generators of the group modulo torsion |
j |
93323370203279/595476807680 |
j-invariant |
L |
5.5528772419309 |
L(r)(E,1)/r! |
Ω |
0.66484373644994 |
Real period |
R |
0.17400320736712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94550e1 |
Quadratic twists by: 5 |