Atkin-Lehner |
2- 5- 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
67150w |
Isogeny class |
Conductor |
67150 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
218880 |
Modular degree for the optimal curve |
Δ |
-479094265625000 = -1 · 23 · 59 · 173 · 792 |
Discriminant |
Eigenvalues |
2- -1 5- 2 -2 3 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,17612,554781] |
[a1,a2,a3,a4,a6] |
Generators |
[59:-1373:1] |
Generators of the group modulo torsion |
j |
309327236947/245296264 |
j-invariant |
L |
8.0584332728145 |
L(r)(E,1)/r! |
Ω |
0.33790829366038 |
Real period |
R |
0.66244413911166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998548 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67150l1 |
Quadratic twists by: 5 |