Atkin-Lehner |
2- 3+ 5+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
127650ch |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2045952 |
Modular degree for the optimal curve |
Δ |
111474351562500 = 22 · 36 · 59 · 232 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1756438,895246031] |
[a1,a2,a3,a4,a6] |
Generators |
[4198:84945:8] |
Generators of the group modulo torsion |
j |
38353250292246281881/7134358500 |
j-invariant |
L |
10.838379414187 |
L(r)(E,1)/r! |
Ω |
0.46763819145142 |
Real period |
R |
5.7942121122129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999928054 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25530q1 |
Quadratic twists by: 5 |