Atkin-Lehner |
2- 3+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15312n |
Isogeny class |
Conductor |
15312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
55246675968 = 213 · 36 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 4 0 11+ -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1616,22848] |
[a1,a2,a3,a4,a6] |
j |
114013572049/13487958 |
j-invariant |
L |
2.1608595768978 |
L(r)(E,1)/r! |
Ω |
1.0804297884489 |
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 |
1914q2 61248co2 45936bx2 |
Quadratic twists by: -4 8 -3 |