Atkin-Lehner |
2+ 5+ 11- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24310f |
Isogeny class |
Conductor |
24310 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-44011601920 = -1 · 214 · 5 · 11 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 11- 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-224,-10194] |
[a1,a2,a3,a4,a6] |
j |
-1235030650489/44011601920 |
j-invariant |
L |
0.9935272698492 |
L(r)(E,1)/r! |
Ω |
0.49676363492456 |
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 |
121550bx1 |
Quadratic twists by: 5 |