Atkin-Lehner |
2+ 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
57536o |
Isogeny class |
Conductor |
57536 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
3047466777706496 = 222 · 293 · 313 |
Discriminant |
Eigenvalues |
2+ 2 3 2 0 -2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-70209,-6626239] |
[a1,a2,a3,a4,a6] |
Generators |
[-145:696:1] |
Generators of the group modulo torsion |
j |
146005204837393/11625163184 |
j-invariant |
L |
11.762977412671 |
L(r)(E,1)/r! |
Ω |
0.29477379741473 |
Real period |
R |
2.216949915057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000134 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57536x2 1798b2 |
Quadratic twists by: -4 8 |