Atkin-Lehner |
2+ 5+ 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
57850a |
Isogeny class |
Conductor |
57850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
35616 |
Modular degree for the optimal curve |
Δ |
-48131200 = -1 · 27 · 52 · 132 · 89 |
Discriminant |
Eigenvalues |
2+ 0 5+ 1 3 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2897,-59299] |
[a1,a2,a3,a4,a6] |
Generators |
[12765:269068:27] |
Generators of the group modulo torsion |
j |
-107575534283985/1925248 |
j-invariant |
L |
4.6440047608565 |
L(r)(E,1)/r! |
Ω |
0.32536807808138 |
Real period |
R |
7.1365402350498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57850v1 |
Quadratic twists by: 5 |