Atkin-Lehner |
2- 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
25560j |
Isogeny class |
Conductor |
25560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
-2981318400 = -1 · 28 · 38 · 52 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,33,2626] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:36:1] [5:-54:1] |
Generators of the group modulo torsion |
j |
21296/15975 |
j-invariant |
L |
7.6310781449318 |
L(r)(E,1)/r! |
Ω |
1.1123274250922 |
Real period |
R |
0.85755753800421 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51120m1 8520i1 127800h1 |
Quadratic twists by: -4 -3 5 |