Atkin-Lehner |
2- 3- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
68880cw |
Isogeny class |
Conductor |
68880 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1071423149690880 = 212 · 312 · 5 · 74 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29400,1123668] |
[a1,a2,a3,a4,a6] |
j |
686152305984601/261577917405 |
j-invariant |
L |
5.3735635402247 |
L(r)(E,1)/r! |
Ω |
0.44779696158865 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4305d3 |
Quadratic twists by: -4 |