Atkin-Lehner |
2- 5+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
87100h |
Isogeny class |
Conductor |
87100 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-39710114843750000 = -1 · 24 · 511 · 132 · 673 |
Discriminant |
Eigenvalues |
2- -3 5+ 3 -6 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23425,-9686375] |
[a1,a2,a3,a4,a6] |
Generators |
[795:21775:1] |
Generators of the group modulo torsion |
j |
-5686204859136/158840459375 |
j-invariant |
L |
3.9169818220522 |
L(r)(E,1)/r! |
Ω |
0.15775033198981 |
Real period |
R |
0.6897294563586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999897835 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17420m1 |
Quadratic twists by: 5 |