Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120ea |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-670330146945761280 = -1 · 220 · 38 · 5 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,86757,-38143798] |
[a1,a2,a3,a4,a6] |
j |
13651919/126720 |
j-invariant |
L |
1.1355895658808 |
L(r)(E,1)/r! |
Ω |
0.14194869449927 |
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 |
10890bn1 29040co1 7920z1 |
Quadratic twists by: -4 -3 -11 |