Atkin-Lehner |
2- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
31772b |
Isogeny class |
Conductor |
31772 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
28831186603024 = 24 · 138 · 472 |
Discriminant |
Eigenvalues |
2- -1 -2 -3 -3 13+ -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13914,-571871] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:169:1] [-68:235:1] |
Generators of the group modulo torsion |
j |
22826752/2209 |
j-invariant |
L |
5.6483178401197 |
L(r)(E,1)/r! |
Ω |
0.44230930769386 |
Real period |
R |
0.70944795893699 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127088m1 31772d1 |
Quadratic twists by: -4 13 |