Atkin-Lehner |
2- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
33320r |
Isogeny class |
Conductor |
33320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-533120000 = -1 · 210 · 54 · 72 · 17 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -3 -1 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-800,9052] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-20:1] |
Generators of the group modulo torsion |
j |
-1129900996/10625 |
j-invariant |
L |
4.2764648973824 |
L(r)(E,1)/r! |
Ω |
1.6535559411372 |
Real period |
R |
0.32327791208876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66640p1 33320h1 |
Quadratic twists by: -4 -7 |