Atkin-Lehner |
2- 3- 5+ 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
127650dd |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
2029328640000000 = 214 · 34 · 57 · 232 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-32338,556292] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:-1186:1] [-1274:10987:8] |
Generators of the group modulo torsion |
j |
239355822010969/129877032960 |
j-invariant |
L |
18.680492019401 |
L(r)(E,1)/r! |
Ω |
0.40599090319809 |
Real period |
R |
0.41082227719811 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999965537 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25530d1 |
Quadratic twists by: 5 |