Atkin-Lehner |
3- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
80613h |
Isogeny class |
Conductor |
80613 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-11062603141414227 = -1 · 39 · 139 · 53 |
Discriminant |
Eigenvalues |
0 3- 0 4 3 13+ -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-20280,5181075] |
[a1,a2,a3,a4,a6] |
Generators |
[143:2281:1] |
Generators of the group modulo torsion |
j |
-262144000/3143907 |
j-invariant |
L |
6.4787162461647 |
L(r)(E,1)/r! |
Ω |
0.34338515181309 |
Real period |
R |
1.179199984292 |
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 |
26871c1 6201e1 |
Quadratic twists by: -3 13 |