Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
8700g |
Isogeny class |
Conductor |
8700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-1101093750000 = -1 · 24 · 35 · 510 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -3 -1 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4758,137637] |
[a1,a2,a3,a4,a6] |
Generators |
[47:125:1] |
Generators of the group modulo torsion |
j |
-47659369216/4404375 |
j-invariant |
L |
3.9152113257619 |
L(r)(E,1)/r! |
Ω |
0.85130938789501 |
Real period |
R |
2.2995231706788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34800dj1 26100o1 1740h1 |
Quadratic twists by: -4 -3 5 |