Atkin-Lehner |
2- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
21824x |
Isogeny class |
Conductor |
21824 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
-823357606534144 = -1 · 210 · 1110 · 31 |
Discriminant |
Eigenvalues |
2- -2 3 5 11- -4 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,22111,-544457] |
[a1,a2,a3,a4,a6] |
j |
1167425747785472/804060162631 |
j-invariant |
L |
2.8399796811958 |
L(r)(E,1)/r! |
Ω |
0.28399796811958 |
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 |
21824e1 5456a1 |
Quadratic twists by: -4 8 |