Atkin-Lehner |
3+ 7- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
89817b |
Isogeny class |
Conductor |
89817 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
926208 |
Modular degree for the optimal curve |
Δ |
-128754416530467 = -1 · 39 · 77 · 132 · 47 |
Discriminant |
Eigenvalues |
0 3+ 0 7- 3 13+ -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2153713,-1215832206] |
[a1,a2,a3,a4,a6] |
Generators |
[106704263520:-959439778301:61629875] |
Generators of the group modulo torsion |
j |
-9390725852594176000/1094394483 |
j-invariant |
L |
4.6186234267769 |
L(r)(E,1)/r! |
Ω |
0.062312127834883 |
Real period |
R |
18.530194631675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12831d1 |
Quadratic twists by: -7 |