Atkin-Lehner |
3- 7+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
12369g |
Isogeny class |
Conductor |
12369 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2382124667572713 = -1 · 3 · 72 · 19 · 318 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4344,-2351175] |
[a1,a2,a3,a4,a6] |
Generators |
[138580379210:-1391286489559:753571000] |
Generators of the group modulo torsion |
j |
-9065659648461697/2382124667572713 |
j-invariant |
L |
2.5439577462072 |
L(r)(E,1)/r! |
Ω |
0.20534386234711 |
Real period |
R |
12.388769340994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37107j5 86583j5 |
Quadratic twists by: -3 -7 |