Atkin-Lehner |
2- 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
24208g |
Isogeny class |
Conductor |
24208 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-16563211206656 = -1 · 217 · 175 · 89 |
Discriminant |
Eigenvalues |
2- 1 1 2 -2 -1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5520,117716] |
[a1,a2,a3,a4,a6] |
Generators |
[4:374:1] |
Generators of the group modulo torsion |
j |
4540485764879/4043752736 |
j-invariant |
L |
6.9239543489363 |
L(r)(E,1)/r! |
Ω |
0.45295557287336 |
Real period |
R |
1.5286166599107 |
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 |
3026d1 96832x1 |
Quadratic twists by: -4 8 |