Atkin-Lehner |
2- 3- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
53328x |
Isogeny class |
Conductor |
53328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
4054634496 = 212 · 34 · 112 · 101 |
Discriminant |
Eigenvalues |
2- 3- -1 4 11- -1 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3541,-82237] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:3:1] |
Generators of the group modulo torsion |
j |
1199124250624/989901 |
j-invariant |
L |
8.3809348081307 |
L(r)(E,1)/r! |
Ω |
0.61891267261327 |
Real period |
R |
1.6926731304319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3333a1 |
Quadratic twists by: -4 |