Atkin-Lehner |
3+ 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
92565k |
Isogeny class |
Conductor |
92565 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
381830625 = 33 · 54 · 113 · 17 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 11+ -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-287,1686] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:457:8] [-4:54:1] |
Generators of the group modulo torsion |
j |
72511713/10625 |
j-invariant |
L |
7.7322459563974 |
L(r)(E,1)/r! |
Ω |
1.6236319292442 |
Real period |
R |
1.1905786368989 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997638 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92565b1 92565l1 |
Quadratic twists by: -3 -11 |