Atkin-Lehner |
2+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
13690b |
Isogeny class |
Conductor |
13690 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3512479453921000000 = -1 · 26 · 56 · 378 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 0 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,335376,-50392834] |
[a1,a2,a3,a4,a6] |
Generators |
[3481:206347:1] |
Generators of the group modulo torsion |
j |
1625964918479/1369000000 |
j-invariant |
L |
1.9813444486104 |
L(r)(E,1)/r! |
Ω |
0.13814460005317 |
Real period |
R |
3.5856349937815 |
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 |
109520k2 123210dj2 68450y2 370d2 |
Quadratic twists by: -4 -3 5 37 |