Atkin-Lehner |
2+ 3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
4830n |
Isogeny class |
Conductor |
4830 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
6.0812218618557E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3409158,-2112699944] |
[a1,a2,a3,a4,a6] |
j |
4381924769947287308715481/608122186185572352000 |
j-invariant |
L |
2.3547290869024 |
L(r)(E,1)/r! |
Ω |
0.11212995651916 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38640ca1 14490bl1 24150bt1 33810l1 |
Quadratic twists by: -4 -3 5 -7 |