Atkin-Lehner |
2- 5- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
17420h |
Isogeny class |
Conductor |
17420 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
3744 |
Modular degree for the optimal curve |
Δ |
-22646000 = -1 · 24 · 53 · 132 · 67 |
Discriminant |
Eigenvalues |
2- -1 5- -3 0 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,70,25] |
[a1,a2,a3,a4,a6] |
Generators |
[0:5:1] [2:13:1] |
Generators of the group modulo torsion |
j |
2337108224/1415375 |
j-invariant |
L |
5.9529882617483 |
L(r)(E,1)/r! |
Ω |
1.3153845576653 |
Real period |
R |
0.25142576607724 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69680z1 87100j1 |
Quadratic twists by: -4 5 |