Atkin-Lehner |
2+ 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
67320m |
Isogeny class |
Conductor |
67320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
-69440187928320 = -1 · 28 · 310 · 5 · 11 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9897,130858] |
[a1,a2,a3,a4,a6] |
Generators |
[221601:20077408:27] |
Generators of the group modulo torsion |
j |
574469438384/372086055 |
j-invariant |
L |
5.9229441628658 |
L(r)(E,1)/r! |
Ω |
0.38513363205821 |
Real period |
R |
7.6894662915039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999892 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22440x1 |
Quadratic twists by: -3 |