Atkin-Lehner |
3+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
92565t |
Isogeny class |
Conductor |
92565 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
-27951910903125 = -1 · 33 · 55 · 117 · 17 |
Discriminant |
Eigenvalues |
-1 3+ 5- -3 11- -3 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6148,-175524] |
[a1,a2,a3,a4,a6] |
Generators |
[26:24:1] [36:284:1] |
Generators of the group modulo torsion |
j |
537367797/584375 |
j-invariant |
L |
7.1423386667687 |
L(r)(E,1)/r! |
Ω |
0.35961290299916 |
Real period |
R |
0.49652964395197 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990204 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92565e1 8415h1 |
Quadratic twists by: -3 -11 |