Atkin-Lehner |
3- 7- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
118041k |
Isogeny class |
Conductor |
118041 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-152761461699 = -1 · 3 · 78 · 112 · 73 |
Discriminant |
Eigenvalues |
2 3- -1 7- 11- -4 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-16,18799] |
[a1,a2,a3,a4,a6] |
j |
-4096/1298451 |
j-invariant |
L |
3.2706567603721 |
L(r)(E,1)/r! |
Ω |
0.81766454900235 |
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 |
16863d1 |
Quadratic twists by: -7 |