Atkin-Lehner |
2- 7- 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
110768p |
Isogeny class |
Conductor |
110768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
428544 |
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 |
[1071:33439:1] |
Generators of the group modulo torsion |
j |
-5691729001843422976/54014775983 |
j-invariant |
L |
6.1882464957198 |
L(r)(E,1)/r! |
Ω |
0.13642666769405 |
Real period |
R |
5.6699384612826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021484 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27692a1 |
Quadratic twists by: -4 |