Atkin-Lehner |
2+ 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35728k |
Isogeny class |
Conductor |
35728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-22065041152 = -1 · 28 · 7 · 114 · 292 |
Discriminant |
Eigenvalues |
2+ -2 2 7- 11+ 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1132,-16692] |
[a1,a2,a3,a4,a6] |
j |
-627200828368/86191567 |
j-invariant |
L |
0.81677275089917 |
L(r)(E,1)/r! |
Ω |
0.4083863754479 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17864d2 |
Quadratic twists by: -4 |