Atkin-Lehner |
2- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
35728y |
Isogeny class |
Conductor |
35728 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
5933554346266624 = 212 · 76 · 114 · 292 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 11- 6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57931,-3881670] |
[a1,a2,a3,a4,a6] |
Generators |
[-137:1218:1] |
Generators of the group modulo torsion |
j |
5249244962308257/1448621666569 |
j-invariant |
L |
5.282184317056 |
L(r)(E,1)/r! |
Ω |
0.31412874729601 |
Real period |
R |
1.4012790303669 |
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 |
2233a2 |
Quadratic twists by: -4 |