Atkin-Lehner |
2- 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111720bo |
Isogeny class |
Conductor |
111720 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
-9565703092673280 = -1 · 28 · 33 · 5 · 79 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,51679,-1285005] |
[a1,a2,a3,a4,a6] |
j |
1477526528/925965 |
j-invariant |
L |
2.8260107360131 |
L(r)(E,1)/r! |
Ω |
0.2355008794379 |
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 |
111720bj1 |
Quadratic twists by: -7 |