Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
24640bp |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
1275407492444180480 = 212 · 5 · 74 · 1110 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11- 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-278761,-15933495] |
[a1,a2,a3,a4,a6] |
j |
584872717700154304/311378782335005 |
j-invariant |
L |
4.4155294885459 |
L(r)(E,1)/r! |
Ω |
0.2207764744273 |
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 |
24640bd2 12320k1 123200ey2 |
Quadratic twists by: -4 8 5 |