Atkin-Lehner |
2- 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
24850bd |
Isogeny class |
Conductor |
24850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
497000 = 23 · 53 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 2 5- 7- -3 1 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-508,-4619] |
[a1,a2,a3,a4,a6] |
j |
116000074133/3976 |
j-invariant |
L |
6.0336667213317 |
L(r)(E,1)/r! |
Ω |
1.005611120222 |
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 |
24850j1 |
Quadratic twists by: 5 |