Atkin-Lehner |
2- 3+ 7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
53592q |
Isogeny class |
Conductor |
53592 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
13719552 = 211 · 3 · 7 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-285824,58911468] |
[a1,a2,a3,a4,a6] |
Generators |
[313:122:1] |
Generators of the group modulo torsion |
j |
1260931102888165634/6699 |
j-invariant |
L |
3.0318060190711 |
L(r)(E,1)/r! |
Ω |
1.0801324124206 |
Real period |
R |
2.8068836599942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000232 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107184bh4 |
Quadratic twists by: -4 |