Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4998bk |
Isogeny class |
Conductor |
4998 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-6.9644880099838E+19 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -6 0 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,188019,-400272111] |
[a1,a2,a3,a4,a6] |
j |
15001431500460925919/1421324083670155776 |
j-invariant |
L |
3.3332542451717 |
L(r)(E,1)/r! |
Ω |
0.092590395699214 |
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 |
39984br1 14994bd1 124950bg1 4998ba1 |
Quadratic twists by: -4 -3 5 -7 |