Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
15288y |
Isogeny class |
Conductor |
15288 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
3626013710592 = 28 · 33 · 79 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1966484,1062067140] |
[a1,a2,a3,a4,a6] |
j |
27923315228972368/120393 |
j-invariant |
L |
0.53100201420507 |
L(r)(E,1)/r! |
Ω |
0.53100201420507 |
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 |
30576bd1 122304di1 45864t1 2184l1 |
Quadratic twists by: -4 8 -3 -7 |