Atkin-Lehner |
2- 3- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75240bc |
Isogeny class |
Conductor |
75240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
2547475920 = 24 · 36 · 5 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1758,-28267] |
[a1,a2,a3,a4,a6] |
j |
51514894336/218405 |
j-invariant |
L |
2.949956393456 |
L(r)(E,1)/r! |
Ω |
0.73748910702137 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8360i1 |
Quadratic twists by: -3 |