Atkin-Lehner |
2- 3+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
125244a |
Isogeny class |
Conductor |
125244 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4147200 |
Modular degree for the optimal curve |
Δ |
-1.0767144283023E+21 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1164240,-1502865819] |
[a1,a2,a3,a4,a6] |
Generators |
[39400654492579370879:1595002786212570046046:25879964505042257] |
Generators of the group modulo torsion |
j |
4710334464000/29060361841 |
j-invariant |
L |
7.7620782958887 |
L(r)(E,1)/r! |
Ω |
0.077589007029333 |
Real period |
R |
25.010238458971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032846 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125244c1 17892a1 |
Quadratic twists by: -3 -7 |