Atkin-Lehner |
2- 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
19240h |
Isogeny class |
Conductor |
19240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
569504000000 = 211 · 56 · 13 · 372 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 -4 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2096,-7520] |
[a1,a2,a3,a4,a6] |
j |
497479031138/278078125 |
j-invariant |
L |
0.7577670953673 |
L(r)(E,1)/r! |
Ω |
0.7577670953673 |
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 |
38480a2 96200d2 |
Quadratic twists by: -4 5 |