Atkin-Lehner |
2+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
83824a |
Isogeny class |
Conductor |
83824 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-20871012141983744 = -1 · 211 · 139 · 312 |
Discriminant |
Eigenvalues |
2+ -1 -1 -3 4 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-196096,-34073248] |
[a1,a2,a3,a4,a6] |
Generators |
[2674:136214:1] |
Generators of the group modulo torsion |
j |
-84361067282/2111317 |
j-invariant |
L |
3.9293025837955 |
L(r)(E,1)/r! |
Ω |
0.11326875676503 |
Real period |
R |
1.0840650975554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999911347 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41912h1 6448b1 |
Quadratic twists by: -4 13 |