Atkin-Lehner |
2+ 5- 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
13570a |
Isogeny class |
Conductor |
13570 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
17424 |
Modular degree for the optimal curve |
Δ |
-183770368000 = -1 · 211 · 53 · 233 · 59 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 1 -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2127,42149] |
[a1,a2,a3,a4,a6] |
j |
-1064989133917561/183770368000 |
j-invariant |
L |
2.9197401892423 |
L(r)(E,1)/r! |
Ω |
0.97324672974745 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108560t1 122130bu1 67850u1 |
Quadratic twists by: -4 -3 5 |