Atkin-Lehner |
2- 3+ 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
26700b |
Isogeny class |
Conductor |
26700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
729911250000 = 24 · 38 · 57 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3033,-48438] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:25:1] |
Generators of the group modulo torsion |
j |
12346507264/2919645 |
j-invariant |
L |
3.6721181277196 |
L(r)(E,1)/r! |
Ω |
0.65432068869701 |
Real period |
R |
1.8707025424246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106800ca1 80100o1 5340c1 |
Quadratic twists by: -4 -3 5 |