Atkin-Lehner |
2+ 3- 59- |
Signs for the Atkin-Lehner involutions |
Class |
11328h |
Isogeny class |
Conductor |
11328 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-44043264 = -1 · 210 · 36 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,43,315] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:15:1] |
Generators of the group modulo torsion |
j |
8388608/43011 |
j-invariant |
L |
6.2829108399228 |
L(r)(E,1)/r! |
Ω |
1.4580220803975 |
Real period |
R |
1.4364004780618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11328m1 708a1 33984m1 |
Quadratic twists by: -4 8 -3 |