Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20592h |
Isogeny class |
Conductor |
20592 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-614614772318976 = -1 · 28 · 36 · 117 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 1 2 11- 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25932,2001548] |
[a1,a2,a3,a4,a6] |
Generators |
[-151:1573:1] |
Generators of the group modulo torsion |
j |
-10333900063744/3293331899 |
j-invariant |
L |
6.0101740295584 |
L(r)(E,1)/r! |
Ω |
0.48614723212214 |
Real period |
R |
0.88306199563139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10296b1 82368ec1 2288a1 |
Quadratic twists by: -4 8 -3 |