Atkin-Lehner |
2+ 3- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
34632g |
Isogeny class |
Conductor |
34632 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
-655758513072 = -1 · 24 · 311 · 132 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 6 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-714,-39647] |
[a1,a2,a3,a4,a6] |
Generators |
[509:11466:1] |
Generators of the group modulo torsion |
j |
-3451205632/56220723 |
j-invariant |
L |
6.0849437671948 |
L(r)(E,1)/r! |
Ω |
0.39052469131564 |
Real period |
R |
3.8953643025073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69264m1 11544j1 |
Quadratic twists by: -4 -3 |