Atkin-Lehner |
7- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
36113g |
Isogeny class |
Conductor |
36113 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
6676463101 = 77 · 112 · 67 |
Discriminant |
Eigenvalues |
-1 1 -1 7- 11- -5 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-981,-11236] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:32:1] [-17:33:1] |
Generators of the group modulo torsion |
j |
887503681/56749 |
j-invariant |
L |
6.1627843425851 |
L(r)(E,1)/r! |
Ω |
0.85648162163106 |
Real period |
R |
1.7988664867229 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5159g1 |
Quadratic twists by: -7 |