Atkin-Lehner |
2- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
110864n |
Isogeny class |
Conductor |
110864 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-111304825419008 = -1 · 28 · 139 · 41 |
Discriminant |
Eigenvalues |
2- -1 -4 2 4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7380,442636] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:17576:27] |
Generators of the group modulo torsion |
j |
35969456/90077 |
j-invariant |
L |
4.1895796687538 |
L(r)(E,1)/r! |
Ω |
0.41435581786434 |
Real period |
R |
2.5277668967443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999743893 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27716c1 8528e1 |
Quadratic twists by: -4 13 |