Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
10560bo |
Isogeny class |
Conductor |
10560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
17906807498342400 = 226 · 36 · 52 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65601,-589599] |
[a1,a2,a3,a4,a6] |
Generators |
[-229:1540:1] |
Generators of the group modulo torsion |
j |
119102750067601/68309049600 |
j-invariant |
L |
3.2944706597053 |
L(r)(E,1)/r! |
Ω |
0.32378010721904 |
Real period |
R |
2.5437562301168 |
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 |
10560q2 2640v2 31680dh2 52800gu2 |
Quadratic twists by: -4 8 -3 5 |