Atkin-Lehner |
2+ 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
67320k |
Isogeny class |
Conductor |
67320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-106789985280 = -1 · 210 · 38 · 5 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ 2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1077,-7882] |
[a1,a2,a3,a4,a6] |
Generators |
[1348:9945:64] |
Generators of the group modulo torsion |
j |
185073116/143055 |
j-invariant |
L |
6.4660230410912 |
L(r)(E,1)/r! |
Ω |
0.58980538933773 |
Real period |
R |
5.4814886049875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991668 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22440r1 |
Quadratic twists by: -3 |