Atkin-Lehner |
2- 7+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
27692a |
Isogeny class |
Conductor |
27692 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
107136 |
Modular degree for the optimal curve |
Δ |
-864236415728 = -1 · 24 · 74 · 233 · 432 |
Discriminant |
Eigenvalues |
2- -1 -4 7+ -4 -1 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-93730,11076401] |
[a1,a2,a3,a4,a6] |
Generators |
[-326:2623:1] [224:1127:1] |
Generators of the group modulo torsion |
j |
-5691729001843422976/54014775983 |
j-invariant |
L |
5.0888660569385 |
L(r)(E,1)/r! |
Ω |
0.8022089784697 |
Real period |
R |
0.17621018246415 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110768p1 |
Quadratic twists by: -4 |