Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121380l |
Isogeny class |
Conductor |
121380 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
46656 |
Modular degree for the optimal curve |
Δ |
-589906800 = -1 · 24 · 36 · 52 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,210,-63] |
[a1,a2,a3,a4,a6] |
Generators |
[24:135:1] |
Generators of the group modulo torsion |
j |
220441856/127575 |
j-invariant |
L |
6.630345648079 |
L(r)(E,1)/r! |
Ω |
0.97524384450252 |
Real period |
R |
0.56655451365491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121380bc1 |
Quadratic twists by: 17 |