Atkin-Lehner |
2- 3+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
125244c |
Isogeny class |
Conductor |
125244 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-1476974524420141488 = -1 · 24 · 33 · 714 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,129360,55661697] |
[a1,a2,a3,a4,a6] |
j |
4710334464000/29060361841 |
j-invariant |
L |
2.3364139218522 |
L(r)(E,1)/r! |
Ω |
0.19470116408065 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125244a1 17892b1 |
Quadratic twists by: -3 -7 |