Atkin-Lehner |
2- 3- 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
98700bo |
Isogeny class |
Conductor |
98700 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
132192 |
Modular degree for the optimal curve |
Δ |
-1036113120000 = -1 · 28 · 39 · 54 · 7 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 -1 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2067,-32337] |
[a1,a2,a3,a4,a6] |
Generators |
[18:105:1] |
Generators of the group modulo torsion |
j |
6101196800/6475707 |
j-invariant |
L |
8.3280560096864 |
L(r)(E,1)/r! |
Ω |
0.47410232753618 |
Real period |
R |
1.9517718056339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008227 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
98700h1 |
Quadratic twists by: 5 |