Atkin-Lehner |
2- 3- 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
51660o |
Isogeny class |
Conductor |
51660 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
1054483920 = 24 · 38 · 5 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-552,4741] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:54:1] |
Generators of the group modulo torsion |
j |
1594753024/90405 |
j-invariant |
L |
6.1902055645407 |
L(r)(E,1)/r! |
Ω |
1.5313197760187 |
Real period |
R |
2.0211995108749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999626 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17220h1 |
Quadratic twists by: -3 |