Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
22932a |
Isogeny class |
Conductor |
22932 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-306819035136432 = -1 · 24 · 39 · 78 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 2 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15876,342657] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:343:1] |
Generators of the group modulo torsion |
j |
11943936/8281 |
j-invariant |
L |
6.2495580284687 |
L(r)(E,1)/r! |
Ω |
0.34437969183083 |
Real period |
R |
1.5122741402191 |
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 |
91728cm1 22932b1 3276b1 |
Quadratic twists by: -4 -3 -7 |