Atkin-Lehner |
2- 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
37024f |
Isogeny class |
Conductor |
37024 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-297369739956224 = -1 · 212 · 138 · 89 |
Discriminant |
Eigenvalues |
2- -1 -1 -4 -6 13- -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16399,181729] |
[a1,a2,a3,a4,a6] |
Generators |
[413:8788:1] |
Generators of the group modulo torsion |
j |
119066442681536/72600034169 |
j-invariant |
L |
1.7108256829012 |
L(r)(E,1)/r! |
Ω |
0.33632092832752 |
Real period |
R |
0.15896513742549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37024e1 74048p1 |
Quadratic twists by: -4 8 |