Atkin-Lehner |
2- 3+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45936ba |
Isogeny class |
Conductor |
45936 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
360981780774912 = 214 · 39 · 113 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11- -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20331,-639846] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:638:1] |
Generators of the group modulo torsion |
j |
11527859979/4477484 |
j-invariant |
L |
4.8121761221939 |
L(r)(E,1)/r! |
Ω |
0.41324473446837 |
Real period |
R |
0.97040480713059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5742p1 45936z1 |
Quadratic twists by: -4 -3 |