Atkin-Lehner |
2+ 3+ 5+ 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
114570b |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
4760727210000 = 24 · 39 · 54 · 192 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 -6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12705,544301] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:1051:1] |
Generators of the group modulo torsion |
j |
11523267816003/241870000 |
j-invariant |
L |
3.5308606217046 |
L(r)(E,1)/r! |
Ω |
0.77075331649525 |
Real period |
R |
1.1452628519118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000015924 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114570bf1 |
Quadratic twists by: -3 |