Atkin-Lehner |
2- 7- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
44198bd |
Isogeny class |
Conductor |
44198 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
66560 |
Modular degree for the optimal curve |
Δ |
1686703169536 = 213 · 73 · 114 · 41 |
Discriminant |
Eigenvalues |
2- -1 -1 7- 11- -6 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2976,-575] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:-171:1] [-43:245:1] |
Generators of the group modulo torsion |
j |
8498406359143/4917501952 |
j-invariant |
L |
10.674128417183 |
L(r)(E,1)/r! |
Ω |
0.711010561772 |
Real period |
R |
0.14435207531857 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44198bg1 |
Quadratic twists by: -7 |