Atkin-Lehner |
2+ 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111720b |
Isogeny class |
Conductor |
111720 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
26970967366560000 = 28 · 34 · 54 · 78 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-489036,131557140] |
[a1,a2,a3,a4,a6] |
j |
429456209353936/895505625 |
j-invariant |
L |
1.5034066488372 |
L(r)(E,1)/r! |
Ω |
0.37585149887242 |
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 |
15960i2 |
Quadratic twists by: -7 |