Atkin-Lehner |
2- 5+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
24650bd |
Isogeny class |
Conductor |
24650 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-536384000000 = -1 · 212 · 56 · 172 · 29 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 1 -5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-260188,-51105008] |
[a1,a2,a3,a4,a6] |
Generators |
[1176:35044:1] |
Generators of the group modulo torsion |
j |
-124671038996895481/34328576 |
j-invariant |
L |
9.779073448611 |
L(r)(E,1)/r! |
Ω |
0.10569336561401 |
Real period |
R |
3.8551274370442 |
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 |
986b1 |
Quadratic twists by: 5 |