Atkin-Lehner |
2+ 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840l |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
139818436463001600 = 215 · 33 · 52 · 436 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 2 6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-321228,-67727152] |
[a1,a2,a3,a4,a6] |
j |
4143336389555544/158034076225 |
j-invariant |
L |
2.4121068083203 |
L(r)(E,1)/r! |
Ω |
0.20100876603951 |
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 |
123840b2 61920bn2 123840ba2 |
Quadratic twists by: -4 8 -3 |