Atkin-Lehner |
2- 3- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
125244m |
Isogeny class |
Conductor |
125244 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
550368 |
Modular degree for the optimal curve |
Δ |
338960060513424 = 24 · 36 · 78 · 712 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -3 6 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21609,-842751] |
[a1,a2,a3,a4,a6] |
j |
16595712/5041 |
j-invariant |
L |
2.4183327512945 |
L(r)(E,1)/r! |
Ω |
0.40305563044799 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13916c1 125244bd1 |
Quadratic twists by: -3 -7 |