Atkin-Lehner |
2- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
75088ba |
Isogeny class |
Conductor |
75088 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-38672466916096 = -1 · 28 · 132 · 197 |
Discriminant |
Eigenvalues |
2- 0 -3 -3 -3 13- -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5776,246924] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:-361:1] [38:-722:1] |
Generators of the group modulo torsion |
j |
1769472/3211 |
j-invariant |
L |
7.1176979244093 |
L(r)(E,1)/r! |
Ω |
0.44491843164521 |
Real period |
R |
0.99985994878242 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18772g1 3952e1 |
Quadratic twists by: -4 -19 |