Atkin-Lehner |
2- 31+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
6572a |
Isogeny class |
Conductor |
6572 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1632 |
Modular degree for the optimal curve |
Δ |
-13038848 = -1 · 28 · 312 · 53 |
Discriminant |
Eigenvalues |
2- -1 0 -4 -2 -1 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-388,3080] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:22:1] [-2:62:1] |
Generators of the group modulo torsion |
j |
-25298674000/50933 |
j-invariant |
L |
4.2051571317878 |
L(r)(E,1)/r! |
Ω |
2.2449611811152 |
Real period |
R |
0.31219226767055 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26288f1 105152f1 59148g1 |
Quadratic twists by: -4 8 -3 |