Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
6160p |
Isogeny class |
Conductor |
6160 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
185933440000000000 = 216 · 510 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3266707,2272454994] |
[a1,a2,a3,a4,a6] |
Generators |
[-337:57750:1] |
Generators of the group modulo torsion |
j |
941226862950447171561/45393906250000 |
j-invariant |
L |
4.342995801621 |
L(r)(E,1)/r! |
Ω |
0.30110863972441 |
Real period |
R |
0.72116758350007 |
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 |
770c2 24640bk2 55440dk2 30800bk2 |
Quadratic twists by: -4 8 -3 5 |