Atkin-Lehner |
3+ 7- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
23919b |
Isogeny class |
Conductor |
23919 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
50880 |
Modular degree for the optimal curve |
Δ |
448122536757 = 34 · 75 · 173 · 67 |
Discriminant |
Eigenvalues |
-2 3+ 0 7- -1 -3 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3808,85800] |
[a1,a2,a3,a4,a6] |
Generators |
[-550:1067:8] [-39:416:1] |
Generators of the group modulo torsion |
j |
6108415552000000/448122536757 |
j-invariant |
L |
3.7153130990497 |
L(r)(E,1)/r! |
Ω |
0.91952206176633 |
Real period |
R |
0.1346827608795 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71757o1 |
Quadratic twists by: -3 |