Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75504bk |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-618528768 = -1 · 217 · 3 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11- 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1184,16128] |
[a1,a2,a3,a4,a6] |
Generators |
[16:32:1] |
Generators of the group modulo torsion |
j |
-370680937/1248 |
j-invariant |
L |
2.9945806714956 |
L(r)(E,1)/r! |
Ω |
1.6322020426338 |
Real period |
R |
0.45867187302814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975781 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9438bb1 75504bw1 |
Quadratic twists by: -4 -11 |