Atkin-Lehner |
3+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
92565i |
Isogeny class |
Conductor |
92565 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1115136 |
Modular degree for the optimal curve |
Δ |
-762097670009341875 = -1 · 39 · 54 · 118 · 172 |
Discriminant |
Eigenvalues |
0 3+ 5+ 3 11- 6 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,215622,-16701721] |
[a1,a2,a3,a4,a6] |
Generators |
[93:2038:1] |
Generators of the group modulo torsion |
j |
262766592/180625 |
j-invariant |
L |
5.8557981141022 |
L(r)(E,1)/r! |
Ω |
0.16078369924033 |
Real period |
R |
4.5525433755175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999917346 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92565m1 92565c1 |
Quadratic twists by: -3 -11 |