Atkin-Lehner |
2- 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
118080es |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
1762924953600 = 218 · 38 · 52 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -2 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3468,-45808] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:128:1] [-32:180:1] |
Generators of the group modulo torsion |
j |
24137569/9225 |
j-invariant |
L |
11.350481834513 |
L(r)(E,1)/r! |
Ω |
0.64250689368083 |
Real period |
R |
4.4164825117196 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999965729 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118080bg1 29520cd1 39360by1 |
Quadratic twists by: -4 8 -3 |