Atkin-Lehner |
2+ 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
23232bg |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
1068114538672422912 = 224 · 33 · 119 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 11+ -6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-275073,24626655] |
[a1,a2,a3,a4,a6] |
j |
3723875/1728 |
j-invariant |
L |
1.4822157815948 |
L(r)(E,1)/r! |
Ω |
0.24703596359914 |
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 |
23232co1 726f1 69696u1 23232bf1 |
Quadratic twists by: -4 8 -3 -11 |