Atkin-Lehner |
2+ 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
2670b |
Isogeny class |
Conductor |
2670 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
302708793600 = 28 · 312 · 52 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-985354,376392956] |
[a1,a2,a3,a4,a6] |
j |
105803474625631920221209/302708793600 |
j-invariant |
L |
0.85469793795047 |
L(r)(E,1)/r! |
Ω |
0.64102345346285 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
21360f1 85440h1 8010n1 13350l1 |
Quadratic twists by: -4 8 -3 5 |