Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13520a |
Isogeny class |
Conductor |
13520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3089157760000 = -1 · 210 · 54 · 136 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2197,74698] |
[a1,a2,a3,a4,a6] |
Generators |
[91:1014:1] |
Generators of the group modulo torsion |
j |
237276/625 |
j-invariant |
L |
3.5899319834389 |
L(r)(E,1)/r! |
Ω |
0.55994372725114 |
Real period |
R |
1.6028092684699 |
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 |
6760g4 54080cw3 121680bw3 67600b3 |
Quadratic twists by: -4 8 -3 5 |