Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
53280n |
Isogeny class |
Conductor |
53280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-3355872768000 = -1 · 212 · 311 · 53 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -6 -5 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,312,-88112] |
[a1,a2,a3,a4,a6] |
Generators |
[56:324:1] |
Generators of the group modulo torsion |
j |
1124864/1123875 |
j-invariant |
L |
2.8590548824933 |
L(r)(E,1)/r! |
Ω |
0.3699402904926 |
Real period |
R |
0.96605281850779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53280bp1 106560cs1 17760z1 |
Quadratic twists by: -4 8 -3 |