Atkin-Lehner |
5+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
14575f |
Isogeny class |
Conductor |
14575 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-34057939953125 = -1 · 56 · 114 · 533 |
Discriminant |
Eigenvalues |
-1 1 5+ -4 11- -1 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8963,-431458] |
[a1,a2,a3,a4,a6] |
Generators |
[602:14274:1] |
Generators of the group modulo torsion |
j |
-5096439860329/2179708157 |
j-invariant |
L |
2.5211484480173 |
L(r)(E,1)/r! |
Ω |
0.24032059869675 |
Real period |
R |
0.43711547229156 |
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 |
583b1 |
Quadratic twists by: 5 |