Atkin-Lehner |
2+ 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
15792m |
Isogeny class |
Conductor |
15792 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-5306112 = -1 · 28 · 32 · 72 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 2 -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12,108] |
[a1,a2,a3,a4,a6] |
j |
-810448/20727 |
j-invariant |
L |
4.0474934316251 |
L(r)(E,1)/r! |
Ω |
2.0237467158125 |
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 |
7896a1 63168ct1 47376p1 110544l1 |
Quadratic twists by: -4 8 -3 -7 |