Atkin-Lehner |
2+ 31- 83- |
Signs for the Atkin-Lehner involutions |
Class |
41168c |
Isogeny class |
Conductor |
41168 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
23808 |
Modular degree for the optimal curve |
Δ |
4537701632 = 28 · 31 · 833 |
Discriminant |
Eigenvalues |
2+ -2 0 1 2 -5 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-993,11275] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:83:1] |
Generators of the group modulo torsion |
j |
423417472000/17725397 |
j-invariant |
L |
4.1698189204427 |
L(r)(E,1)/r! |
Ω |
1.363622836117 |
Real period |
R |
1.019299181074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20584c1 |
Quadratic twists by: -4 |