Atkin-Lehner |
2- 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640cl |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
5503978045440000 = 222 · 34 · 54 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-99456,-11565900] |
[a1,a2,a3,a4,a6] |
j |
26562019806177409/1343744640000 |
j-invariant |
L |
2.1574663463307 |
L(r)(E,1)/r! |
Ω |
0.26968329329462 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4830s2 115920dw2 |
Quadratic twists by: -4 -3 |