Atkin-Lehner |
2- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28730t |
Isogeny class |
Conductor |
28730 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
134784 |
Modular degree for the optimal curve |
Δ |
585898590358250 = 2 · 53 · 1310 · 17 |
Discriminant |
Eigenvalues |
2- -2 5+ 1 3 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-29156,1519270] |
[a1,a2,a3,a4,a6] |
j |
19882681/4250 |
j-invariant |
L |
1.9512939831844 |
L(r)(E,1)/r! |
Ω |
0.48782349579595 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28730l1 |
Quadratic twists by: 13 |