Atkin-Lehner |
2- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
35728y |
Isogeny class |
Conductor |
35728 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
198938938524913664 = 212 · 712 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 11- 6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-338651,72754890] |
[a1,a2,a3,a4,a6] |
Generators |
[278:308:1] |
Generators of the group modulo torsion |
j |
1048626554636928177/48569076788309 |
j-invariant |
L |
5.282184317056 |
L(r)(E,1)/r! |
Ω |
0.31412874729601 |
Real period |
R |
2.8025580607339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2233a3 |
Quadratic twists by: -4 |