Atkin-Lehner |
2- 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
121680db |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
110703490560000 = 212 · 39 · 54 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 0 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27027,1633554] |
[a1,a2,a3,a4,a6] |
j |
12326391/625 |
j-invariant |
L |
4.6847255030857 |
L(r)(E,1)/r! |
Ω |
0.58559073173713 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7605h2 121680co2 121680cp2 |
Quadratic twists by: -4 -3 13 |