Atkin-Lehner |
2- 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
111720bv |
Isogeny class |
Conductor |
111720 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1397760 |
Modular degree for the optimal curve |
Δ |
-463605377588398080 = -1 · 211 · 310 · 5 · 79 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 5 5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-110560,35647520] |
[a1,a2,a3,a4,a6] |
j |
-1808462126/5609655 |
j-invariant |
L |
5.2035630094708 |
L(r)(E,1)/r! |
Ω |
0.26017817069787 |
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 |
111720bb1 |
Quadratic twists by: -7 |