Atkin-Lehner |
2- 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
11712bj |
Isogeny class |
Conductor |
11712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-316224 = -1 · 26 · 34 · 61 |
Discriminant |
Eigenvalues |
2- 3- 3 -3 1 3 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16,18] |
[a1,a2,a3,a4,a6] |
Generators |
[1:6:1] |
Generators of the group modulo torsion |
j |
6644672/4941 |
j-invariant |
L |
6.2459068179864 |
L(r)(E,1)/r! |
Ω |
1.9513337570339 |
Real period |
R |
0.80020995837744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11712w1 5856d1 35136ci1 |
Quadratic twists by: -4 8 -3 |