Atkin-Lehner |
2+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
92480ci |
Isogeny class |
Conductor |
92480 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-684204032000 = -1 · 216 · 53 · 174 |
Discriminant |
Eigenvalues |
2+ 1 5- -3 4 0 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-385,39775] |
[a1,a2,a3,a4,a6] |
Generators |
[45:340:1] |
Generators of the group modulo torsion |
j |
-1156/125 |
j-invariant |
L |
8.2941526570695 |
L(r)(E,1)/r! |
Ω |
0.74425678868435 |
Real period |
R |
0.6191226815902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983533 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92480ej1 11560h1 92480k1 |
Quadratic twists by: -4 8 17 |