Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360cr |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
7244513280000 = 218 · 32 · 54 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32600,2272752] |
[a1,a2,a3,a4,a6] |
Generators |
[44:960:1] |
Generators of the group modulo torsion |
j |
190407092777/360000 |
j-invariant |
L |
6.7856276599441 |
L(r)(E,1)/r! |
Ω |
0.74522154950082 |
Real period |
R |
0.56909482693267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000161 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8670k1 69360dc1 |
Quadratic twists by: -4 17 |