Atkin-Lehner |
2- 3- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
53328y |
Isogeny class |
Conductor |
53328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28160 |
Modular degree for the optimal curve |
Δ |
450514944 = 212 · 32 · 112 · 101 |
Discriminant |
Eigenvalues |
2- 3- -3 2 11- -5 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-837,-9549] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:3:1] |
Generators of the group modulo torsion |
j |
15851081728/109989 |
j-invariant |
L |
6.3642492185411 |
L(r)(E,1)/r! |
Ω |
0.88788469631244 |
Real period |
R |
1.7919695105232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998946 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3333b1 |
Quadratic twists by: -4 |