Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
43512bo |
Isogeny class |
Conductor |
43512 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-167058122060592 = -1 · 24 · 33 · 710 · 372 |
Discriminant |
Eigenvalues |
2- 3- 4 7- -4 -2 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29171,-2025738] |
[a1,a2,a3,a4,a6] |
Generators |
[1123:37185:1] |
Generators of the group modulo torsion |
j |
-1458425767936/88748163 |
j-invariant |
L |
9.2269598364718 |
L(r)(E,1)/r! |
Ω |
0.18201307843419 |
Real period |
R |
4.2244948897129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87024x1 6216n1 |
Quadratic twists by: -4 -7 |