Atkin-Lehner |
3- 7+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
110019r |
Isogeny class |
Conductor |
110019 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
228480 |
Modular degree for the optimal curve |
Δ |
-1048433651811 = -1 · 35 · 77 · 132 · 31 |
Discriminant |
Eigenvalues |
1 3- -3 7+ -4 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2825,-76165] |
[a1,a2,a3,a4,a6] |
j |
-14745902386657/6203749419 |
j-invariant |
L |
1.6042022574444 |
L(r)(E,1)/r! |
Ω |
0.32084031487327 |
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 |
110019y1 |
Quadratic twists by: 13 |