Atkin-Lehner |
2- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
125840bw |
Isogeny class |
Conductor |
125840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
1114666181200 = 24 · 52 · 118 · 13 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 11- 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-72761,-7529960] |
[a1,a2,a3,a4,a6] |
Generators |
[-156:2:1] [1028:31670:1] |
Generators of the group modulo torsion |
j |
12421218304/325 |
j-invariant |
L |
8.8617033884287 |
L(r)(E,1)/r! |
Ω |
0.29068664153499 |
Real period |
R |
15.242708340771 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999971519 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31460f1 125840bk1 |
Quadratic twists by: -4 -11 |