Atkin-Lehner |
3+ 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
24885a |
Isogeny class |
Conductor |
24885 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
31368164625 = 33 · 53 · 76 · 79 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 2 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-960,7891] |
[a1,a2,a3,a4,a6] |
j |
3626002437147/1161783875 |
j-invariant |
L |
3.2477539966449 |
L(r)(E,1)/r! |
Ω |
1.0825846655482 |
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 |
24885b1 124425b1 |
Quadratic twists by: -3 5 |