Atkin-Lehner |
2+ 3- 13+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
115362c |
Isogeny class |
Conductor |
115362 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5184457884434088 = 23 · 320 · 13 · 17 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 -4 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-72972,-6731960] |
[a1,a2,a3,a4,a6] |
Generators |
[309:235:1] |
Generators of the group modulo torsion |
j |
58947892101906625/7111739210472 |
j-invariant |
L |
3.5911023230873 |
L(r)(E,1)/r! |
Ω |
0.2927696067837 |
Real period |
R |
6.1329834473358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051551 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38454h2 |
Quadratic twists by: -3 |