Atkin-Lehner |
2- 3+ 5- 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
114570bf |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
6530490000 = 24 · 33 · 54 · 192 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 -6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1412,-19689] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:29:1] |
Generators of the group modulo torsion |
j |
11523267816003/241870000 |
j-invariant |
L |
10.923917651135 |
L(r)(E,1)/r! |
Ω |
0.77986471441427 |
Real period |
R |
0.87546575556253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000257 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114570b1 |
Quadratic twists by: -3 |