Atkin-Lehner |
2- 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840cs |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
4200159744000 = 212 · 37 · 53 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2824816,1826457620] |
[a1,a2,a3,a4,a6] |
Generators |
[959:594:1] |
Generators of the group modulo torsion |
j |
608603451835763140849/1025429625 |
j-invariant |
L |
7.7747980022013 |
L(r)(E,1)/r! |
Ω |
0.5024475971927 |
Real period |
R |
1.1052748939137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999995653 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5115b1 |
Quadratic twists by: -4 |