Atkin-Lehner |
2- 41- 43- |
Signs for the Atkin-Lehner involutions |
Class |
28208l |
Isogeny class |
Conductor |
28208 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-7753755999076352 = -1 · 242 · 41 · 43 |
Discriminant |
Eigenvalues |
2- -1 2 3 2 -6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10208,4214528] |
[a1,a2,a3,a4,a6] |
j |
28717273414367/1893006835712 |
j-invariant |
L |
1.2699661853204 |
L(r)(E,1)/r! |
Ω |
0.3174915463301 |
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 |
3526c1 112832bj1 |
Quadratic twists by: -4 8 |