Atkin-Lehner |
2- 3+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
125400cb |
Isogeny class |
Conductor |
125400 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1149120 |
Modular degree for the optimal curve |
Δ |
-46641623994028800 = -1 · 28 · 39 · 52 · 117 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 5 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-136553,-21981603] |
[a1,a2,a3,a4,a6] |
j |
-43999795295165440/7287753749067 |
j-invariant |
L |
1.7228531948161 |
L(r)(E,1)/r! |
Ω |
0.12306095528101 |
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 |
125400bt1 |
Quadratic twists by: 5 |