Atkin-Lehner |
2+ 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
18648o |
Isogeny class |
Conductor |
18648 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-149062834545408 = -1 · 28 · 311 · 74 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6225,556162] |
[a1,a2,a3,a4,a6] |
j |
142946750000/798733467 |
j-invariant |
L |
3.3421281984396 |
L(r)(E,1)/r! |
Ω |
0.41776602480495 |
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 |
37296o2 6216u2 |
Quadratic twists by: -4 -3 |