Atkin-Lehner |
2- 7- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
47138l |
Isogeny class |
Conductor |
47138 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-4173494674231792 = -1 · 24 · 77 · 132 · 374 |
Discriminant |
Eigenvalues |
2- 0 2 7- 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-88234,-10533799] |
[a1,a2,a3,a4,a6] |
j |
-645711857344737/35474119408 |
j-invariant |
L |
4.4180101137818 |
L(r)(E,1)/r! |
Ω |
0.13806281605752 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6734c1 |
Quadratic twists by: -7 |