Atkin-Lehner |
2- 3- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
67320bk |
Isogeny class |
Conductor |
67320 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-513063061632000 = -1 · 210 · 311 · 53 · 113 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11+ -7 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,18213,540934] |
[a1,a2,a3,a4,a6] |
Generators |
[83:-1620:1] |
Generators of the group modulo torsion |
j |
895036383644/687295125 |
j-invariant |
L |
5.6392555019877 |
L(r)(E,1)/r! |
Ω |
0.3346717550631 |
Real period |
R |
0.70208786873971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22440i1 |
Quadratic twists by: -3 |