Atkin-Lehner |
2- 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
43512bi |
Isogeny class |
Conductor |
43512 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-23378396090112 = -1 · 28 · 34 · 77 · 372 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 4 4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6844,83712] |
[a1,a2,a3,a4,a6] |
j |
1176960944/776223 |
j-invariant |
L |
6.7707620027765 |
L(r)(E,1)/r! |
Ω |
0.42317262516713 |
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 |
87024l1 6216p1 |
Quadratic twists by: -4 -7 |