Atkin-Lehner |
2- 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41616bm |
Isogeny class |
Conductor |
41616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-45380174524416 = -1 · 212 · 33 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 1 -2 -3 -5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13872,-707472] |
[a1,a2,a3,a4,a6] |
Generators |
[153:867:1] [1513:58667:1] |
Generators of the group modulo torsion |
j |
-110592/17 |
j-invariant |
L |
9.0242584424926 |
L(r)(E,1)/r! |
Ω |
0.2181073582515 |
Real period |
R |
5.1719131090066 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2601d1 41616bn1 2448i1 |
Quadratic twists by: -4 -3 17 |