Atkin-Lehner |
3- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
80613h |
Isogeny class |
Conductor |
80613 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-20430540581349483 = -1 · 37 · 137 · 533 |
Discriminant |
Eigenvalues |
0 3- 0 4 3 13+ -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2986230,1986257718] |
[a1,a2,a3,a4,a6] |
Generators |
[1664:40306:1] |
Generators of the group modulo torsion |
j |
-836962177024000/5806203 |
j-invariant |
L |
6.4787162461647 |
L(r)(E,1)/r! |
Ω |
0.34338515181309 |
Real period |
R |
0.39306666143067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999941022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26871c2 6201e2 |
Quadratic twists by: -3 13 |