Atkin-Lehner |
2- 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
68160df |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
6089324101632000 = 230 · 32 · 53 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1572863905,24009070631903] |
[a1,a2,a3,a4,a6] |
j |
1641561767772280600264346089/23228928000 |
j-invariant |
L |
3.5526615696393 |
L(r)(E,1)/r! |
Ω |
0.14802756565961 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68160p4 17040l4 |
Quadratic twists by: -4 8 |