Atkin-Lehner |
2- 7- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
44198bg |
Isogeny class |
Conductor |
44198 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
465920 |
Modular degree for the optimal curve |
Δ |
198438941192740864 = 213 · 79 · 114 · 41 |
Discriminant |
Eigenvalues |
2- 1 1 7- 11- 6 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-145825,-240311] |
[a1,a2,a3,a4,a6] |
Generators |
[690:-15437:1] |
Generators of the group modulo torsion |
j |
8498406359143/4917501952 |
j-invariant |
L |
12.099715430785 |
L(r)(E,1)/r! |
Ω |
0.26798306821229 |
Real period |
R |
0.43414465839138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44198bd1 |
Quadratic twists by: -7 |