Atkin-Lehner |
2- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
13690m |
Isogeny class |
Conductor |
13690 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-129961739795077000 = -1 · 23 · 53 · 379 |
Discriminant |
Eigenvalues |
2- -2 5- -1 3 4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-25355,17412025] |
[a1,a2,a3,a4,a6] |
Generators |
[1372:49967:1] |
Generators of the group modulo torsion |
j |
-702595369/50653000 |
j-invariant |
L |
5.4033141082709 |
L(r)(E,1)/r! |
Ω |
0.27156448356162 |
Real period |
R |
0.55269399221354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109520w2 123210ba2 68450e2 370c1 |
Quadratic twists by: -4 -3 5 37 |