Atkin-Lehner |
2+ 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15080b |
Isogeny class |
Conductor |
15080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
11370320 = 24 · 5 · 132 · 292 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 0 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-291,1810] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:55:1] [1:39:1] |
Generators of the group modulo torsion |
j |
170912671744/710645 |
j-invariant |
L |
4.4077487603179 |
L(r)(E,1)/r! |
Ω |
2.2788226882282 |
Real period |
R |
0.96711095231023 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30160b1 120640bf1 75400l1 |
Quadratic twists by: -4 8 5 |