Atkin-Lehner |
5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
93025b |
Isogeny class |
Conductor |
93025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
7267578125 = 59 · 612 |
Discriminant |
Eigenvalues |
2 2 5+ 4 -1 2 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-508,1793] |
[a1,a2,a3,a4,a6] |
Generators |
[234:839:8] |
Generators of the group modulo torsion |
j |
249856/125 |
j-invariant |
L |
23.363022837793 |
L(r)(E,1)/r! |
Ω |
1.1720614641579 |
Real period |
R |
4.9833186101088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18605d1 93025c1 |
Quadratic twists by: 5 61 |