Atkin-Lehner |
2- 3- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
25668d |
Isogeny class |
Conductor |
25668 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-11294770842864 = -1 · 24 · 316 · 232 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 1 -4 -4 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3873,-186419] |
[a1,a2,a3,a4,a6] |
j |
-550831403776/968344551 |
j-invariant |
L |
1.1426921197587 |
L(r)(E,1)/r! |
Ω |
0.28567302993971 |
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 |
102672bx1 8556e1 |
Quadratic twists by: -4 -3 |