Atkin-Lehner |
2- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
86800bn |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-111104000000 = -1 · 215 · 56 · 7 · 31 |
Discriminant |
Eigenvalues |
2- -3 5+ 7+ -4 -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-945475,353853250] |
[a1,a2,a3,a4,a6] |
Generators |
[561:-16:1] |
Generators of the group modulo torsion |
j |
-1460474194254993/1736 |
j-invariant |
L |
1.6566410730418 |
L(r)(E,1)/r! |
Ω |
0.66908180042358 |
Real period |
R |
0.61899795336227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000076451 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10850m1 3472h1 |
Quadratic twists by: -4 5 |