Atkin-Lehner |
3- 7- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
118041j |
Isogeny class |
Conductor |
118041 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4091904 |
Modular degree for the optimal curve |
Δ |
4124559465873 = 34 · 78 · 112 · 73 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-35788572,-82410089553] |
[a1,a2,a3,a4,a6] |
j |
43089215046717389515057/35058177 |
j-invariant |
L |
0.98760452922774 |
L(r)(E,1)/r! |
Ω |
0.061725335921603 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16863c1 |
Quadratic twists by: -7 |