Atkin-Lehner |
2- 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42108d |
Isogeny class |
Conductor |
42108 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
17160 |
Modular degree for the optimal curve |
Δ |
-2466012912 = -1 · 24 · 3 · 116 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 11- 3 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-282,2913] |
[a1,a2,a3,a4,a6] |
j |
-87808/87 |
j-invariant |
L |
3.9582280573123 |
L(r)(E,1)/r! |
Ω |
1.3194093523898 |
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 |
126324q1 348b1 |
Quadratic twists by: -3 -11 |