Atkin-Lehner |
2- 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
51120bn |
Isogeny class |
Conductor |
51120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
694697538355200 = 229 · 36 · 52 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -2 -1 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59907,5499394] |
[a1,a2,a3,a4,a6] |
Generators |
[-255:2048:1] |
Generators of the group modulo torsion |
j |
7962857630209/232652800 |
j-invariant |
L |
6.7862993345009 |
L(r)(E,1)/r! |
Ω |
0.50691527621337 |
Real period |
R |
1.6734303671927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000039 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6390k1 5680f1 |
Quadratic twists by: -4 -3 |