Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15288v |
Isogeny class |
Conductor |
15288 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
45809697024 = 28 · 32 · 76 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2564,49764] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:294:1] |
Generators of the group modulo torsion |
j |
61918288/1521 |
j-invariant |
L |
3.3054201965184 |
L(r)(E,1)/r! |
Ω |
1.1330610410295 |
Real period |
R |
0.72931203104363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30576w2 122304ed2 45864k2 312c2 |
Quadratic twists by: -4 8 -3 -7 |