Atkin-Lehner |
2+ 5- 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
44440c |
Isogeny class |
Conductor |
44440 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-139033917440 = -1 · 211 · 5 · 113 · 1012 |
Discriminant |
Eigenvalues |
2+ -3 5- 1 11+ -2 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18307,953566] |
[a1,a2,a3,a4,a6] |
Generators |
[50:404:1] |
Generators of the group modulo torsion |
j |
-331318208543922/67887655 |
j-invariant |
L |
3.6198546577914 |
L(r)(E,1)/r! |
Ω |
1.0060181503781 |
Real period |
R |
1.7991000741041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88880f1 |
Quadratic twists by: -4 |