Atkin-Lehner |
2+ 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
28576d |
Isogeny class |
Conductor |
28576 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5248 |
Modular degree for the optimal curve |
Δ |
-21489152 = -1 · 29 · 19 · 472 |
Discriminant |
Eigenvalues |
2+ -1 2 3 2 1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-152,808] |
[a1,a2,a3,a4,a6] |
Generators |
[58:47:8] |
Generators of the group modulo torsion |
j |
-763551944/41971 |
j-invariant |
L |
6.1702384866068 |
L(r)(E,1)/r! |
Ω |
2.1232296361123 |
Real period |
R |
1.4530313588465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28576a1 57152m1 |
Quadratic twists by: -4 8 |