Atkin-Lehner |
11+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31603a |
Isogeny class |
Conductor |
31603 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1281581788160531 = -1 · 11 · 136 · 176 |
Discriminant |
Eigenvalues |
0 1 -3 -2 11+ 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-16787,-1920668] |
[a1,a2,a3,a4,a6] |
Generators |
[125532:414784:729] |
Generators of the group modulo torsion |
j |
-108394872832/265513259 |
j-invariant |
L |
2.4703904381844 |
L(r)(E,1)/r! |
Ω |
0.19549825309036 |
Real period |
R |
3.1590952849106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
187a2 |
Quadratic twists by: 13 |