Atkin-Lehner |
2+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
49600bi |
Isogeny class |
Conductor |
49600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
68352 |
Modular degree for the optimal curve |
Δ |
-19681280000 = -1 · 215 · 54 · 312 |
Discriminant |
Eigenvalues |
2+ -3 5- 4 -3 4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,500,5200] |
[a1,a2,a3,a4,a6] |
Generators |
[34:248:1] |
Generators of the group modulo torsion |
j |
675000/961 |
j-invariant |
L |
4.3562530839315 |
L(r)(E,1)/r! |
Ω |
0.82458196260458 |
Real period |
R |
0.66037296495402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999752 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49600bf1 24800r1 49600bb1 |
Quadratic twists by: -4 8 5 |