Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510cn |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
4308480 |
Modular degree for the optimal curve |
Δ |
-3.9782647935998E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- 0 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1851548,-9644734753] |
[a1,a2,a3,a4,a6] |
j |
-401059427678785561/22728668688000000 |
j-invariant |
L |
4.0373925156242 |
L(r)(E,1)/r! |
Ω |
0.050467406450262 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16170x1 48510eb1 |
Quadratic twists by: -3 -7 |