Atkin-Lehner |
3- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
111909f |
Isogeny class |
Conductor |
111909 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
14716800 |
Modular degree for the optimal curve |
Δ |
-2.1639375553214E+24 |
Discriminant |
Eigenvalues |
-1 3- 0 7+ -4 -1 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6037868,71004598293] |
[a1,a2,a3,a4,a6] |
j |
-413493625/36756909 |
j-invariant |
L |
0.94870466753378 |
L(r)(E,1)/r! |
Ω |
0.067764583648268 |
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 |
111909h1 |
Quadratic twists by: 73 |