Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74400cj |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
540404354764800 = 212 · 311 · 52 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -3 4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-195773,-33387477] |
[a1,a2,a3,a4,a6] |
Generators |
[-251:36:1] |
Generators of the group modulo torsion |
j |
8103718783966720/5277386277 |
j-invariant |
L |
8.1210197507894 |
L(r)(E,1)/r! |
Ω |
0.22697506407343 |
Real period |
R |
1.6263339892133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998116 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74400g1 74400q1 |
Quadratic twists by: -4 5 |