Atkin-Lehner |
5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
124025j |
Isogeny class |
Conductor |
124025 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
28372656640625 = 58 · 116 · 41 |
Discriminant |
Eigenvalues |
1 -2 5+ 2 11- -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7626,3023] |
[a1,a2,a3,a4,a6] |
Generators |
[27348:539869:64] |
Generators of the group modulo torsion |
j |
1771561/1025 |
j-invariant |
L |
5.5208299783357 |
L(r)(E,1)/r! |
Ω |
0.5622481557897 |
Real period |
R |
4.909602538879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000058045 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24805g1 1025a1 |
Quadratic twists by: 5 -11 |