Atkin-Lehner |
2- 3- 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
53592ba |
Isogeny class |
Conductor |
53592 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
8506321173504 = 210 · 312 · 72 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5104,-5104] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:252:1] |
Generators of the group modulo torsion |
j |
14362857077188/8306954271 |
j-invariant |
L |
5.4614749627964 |
L(r)(E,1)/r! |
Ω |
0.61846341435872 |
Real period |
R |
0.7358930261614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000084 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107184o2 |
Quadratic twists by: -4 |