Atkin-Lehner |
2+ 11+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
93808c |
Isogeny class |
Conductor |
93808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
197632 |
Modular degree for the optimal curve |
Δ |
-78048256 = -1 · 210 · 11 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ -2 1 3 11+ 13+ -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-110880,14174212] |
[a1,a2,a3,a4,a6] |
Generators |
[192:-2:1] |
Generators of the group modulo torsion |
j |
-147226953011402884/76219 |
j-invariant |
L |
4.9008031784057 |
L(r)(E,1)/r! |
Ω |
1.1779573640056 |
Real period |
R |
0.52005311596796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999946492 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46904d1 |
Quadratic twists by: -4 |