Atkin-Lehner |
3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
92565bi |
Isogeny class |
Conductor |
92565 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-405201713895 = -1 · 36 · 5 · 113 · 174 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 11+ 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9527,-356826] |
[a1,a2,a3,a4,a6] |
Generators |
[1946310:45015028:3375] |
Generators of the group modulo torsion |
j |
-98547108659/417605 |
j-invariant |
L |
4.3640505238553 |
L(r)(E,1)/r! |
Ω |
0.24155940528405 |
Real period |
R |
9.0330792932343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998641 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10285b1 92565bl1 |
Quadratic twists by: -3 -11 |