Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15288j |
Isogeny class |
Conductor |
15288 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-30967355188224 = -1 · 210 · 32 · 76 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6648,-165600] |
[a1,a2,a3,a4,a6] |
Generators |
[123:1590:1] |
Generators of the group modulo torsion |
j |
269676572/257049 |
j-invariant |
L |
6.6453563460787 |
L(r)(E,1)/r! |
Ω |
0.36027788156383 |
Real period |
R |
4.6112713867097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30576c3 122304cb3 45864bk3 312d4 |
Quadratic twists by: -4 8 -3 -7 |