Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22800ba |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
15390000000000 = 210 · 34 · 510 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-821008,286057988] |
[a1,a2,a3,a4,a6] |
j |
3825131988299044/961875 |
j-invariant |
L |
4.4636316020983 |
L(r)(E,1)/r! |
Ω |
0.55795395026228 |
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 |
11400bb3 91200gi4 68400br4 4560c3 |
Quadratic twists by: -4 8 -3 5 |