Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400bi |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
-1267295466240000000 = -1 · 214 · 316 · 57 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 2 2 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28133,-54183363] |
[a1,a2,a3,a4,a6] |
j |
-9619385344/4950372915 |
j-invariant |
L |
0.48936533751237 |
L(r)(E,1)/r! |
Ω |
0.12234144186578 |
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 |
110400hz1 13800p1 22080bl1 |
Quadratic twists by: -4 8 5 |