Atkin-Lehner |
5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
124025k |
Isogeny class |
Conductor |
124025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1444608 |
Modular degree for the optimal curve |
Δ |
83080813175078125 = 57 · 1110 · 41 |
Discriminant |
Eigenvalues |
2 -1 5+ 3 11- 5 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-122008,-8720207] |
[a1,a2,a3,a4,a6] |
Generators |
[13734156:1223150311:1728] |
Generators of the group modulo torsion |
j |
495616/205 |
j-invariant |
L |
12.676451000057 |
L(r)(E,1)/r! |
Ω |
0.26494155770676 |
Real period |
R |
11.961554130684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998928316 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24805h1 124025g1 |
Quadratic twists by: 5 -11 |