Atkin-Lehner |
2- 3+ 7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
12558l |
Isogeny class |
Conductor |
12558 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
107226405441792 = 28 · 35 · 78 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14319,426165] |
[a1,a2,a3,a4,a6] |
j |
324686083835773297/107226405441792 |
j-invariant |
L |
2.1935455290475 |
L(r)(E,1)/r! |
Ω |
0.54838638226188 |
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 |
100464cc1 37674d1 87906bq1 |
Quadratic twists by: -4 -3 -7 |