Atkin-Lehner |
2+ 7+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
44198f |
Isogeny class |
Conductor |
44198 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
58800 |
Modular degree for the optimal curve |
Δ |
-31708042982 = -1 · 2 · 74 · 115 · 41 |
Discriminant |
Eigenvalues |
2+ -3 2 7+ 11- 0 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,89,8539] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:68:1] |
Generators of the group modulo torsion |
j |
32266647/13206182 |
j-invariant |
L |
2.8994424955449 |
L(r)(E,1)/r! |
Ω |
0.90972400686267 |
Real period |
R |
0.63743343556557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44198s1 |
Quadratic twists by: -7 |