Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784dc |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
50888029151232 = 213 · 37 · 75 · 132 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -3 13+ -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11600,-340716] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:168:1] [-65:378:1] |
Generators of the group modulo torsion |
j |
249395415529/73513818 |
j-invariant |
L |
9.5294568990141 |
L(r)(E,1)/r! |
Ω |
0.47044956151947 |
Real period |
R |
0.14468617859645 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7098s1 56784cs1 |
Quadratic twists by: -4 13 |