Atkin-Lehner |
3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
24255a |
Isogeny class |
Conductor |
24255 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
18878334678559125 = 39 · 53 · 78 · 113 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 11+ -1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-74088,4067894] |
[a1,a2,a3,a4,a6] |
Generators |
[-294:661:1] |
Generators of the group modulo torsion |
j |
396361728/166375 |
j-invariant |
L |
3.8396130393779 |
L(r)(E,1)/r! |
Ω |
0.34954754345378 |
Real period |
R |
1.8307538374893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24255o1 121275a2 24255q2 |
Quadratic twists by: -3 5 -7 |