Atkin-Lehner |
2- 5- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
105280bd |
Isogeny class |
Conductor |
105280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
539033600 = 216 · 52 · 7 · 47 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 4 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-385,-2817] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:5:1] |
Generators of the group modulo torsion |
j |
96550276/8225 |
j-invariant |
L |
3.9160517708317 |
L(r)(E,1)/r! |
Ω |
1.0834046139226 |
Real period |
R |
1.8072896062693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999350842 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105280t1 26320a1 |
Quadratic twists by: -4 8 |