Atkin-Lehner |
2+ 5+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
111800a |
Isogeny class |
Conductor |
111800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-830211148000000 = -1 · 28 · 56 · 136 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 4 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12575,-1488750] |
[a1,a2,a3,a4,a6] |
Generators |
[172673878575:-8178765076308:76765625] |
Generators of the group modulo torsion |
j |
-54977843664/207552787 |
j-invariant |
L |
7.9053474174333 |
L(r)(E,1)/r! |
Ω |
0.20625042932472 |
Real period |
R |
19.164438701899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999966675 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4472c2 |
Quadratic twists by: 5 |