Atkin-Lehner |
2- 3+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
111720bg |
Isogeny class |
Conductor |
111720 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
2016000 |
Modular degree for the optimal curve |
Δ |
-1973267895117173760 = -1 · 210 · 33 · 5 · 78 · 195 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 5 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-384960,114231132] |
[a1,a2,a3,a4,a6] |
j |
-1068777692164/334273365 |
j-invariant |
L |
2.4820160884585 |
L(r)(E,1)/r! |
Ω |
0.24820171726463 |
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 |
111720bp1 |
Quadratic twists by: -7 |