Atkin-Lehner |
2+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
125840m |
Isogeny class |
Conductor |
125840 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
2703360 |
Modular degree for the optimal curve |
Δ |
9.6303841923791E+19 |
Discriminant |
Eigenvalues |
2+ -1 5+ -2 11- 13- -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1630031,-646529750] |
[a1,a2,a3,a4,a6] |
Generators |
[-762:12350:1] |
Generators of the group modulo torsion |
j |
1154156591104/232058125 |
j-invariant |
L |
4.5060433360369 |
L(r)(E,1)/r! |
Ω |
0.13549491993328 |
Real period |
R |
3.3256179846994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998011155 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62920g1 125840e1 |
Quadratic twists by: -4 -11 |