Atkin-Lehner |
2+ 3- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
15576c |
Isogeny class |
Conductor |
15576 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
12160 |
Modular degree for the optimal curve |
Δ |
444102912 = 28 · 35 · 112 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ 4 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4764,-128160] |
[a1,a2,a3,a4,a6] |
j |
46718636988112/1734777 |
j-invariant |
L |
2.8732273505417 |
L(r)(E,1)/r! |
Ω |
0.57464547010835 |
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 |
31152d1 124608r1 46728q1 |
Quadratic twists by: -4 8 -3 |