Atkin-Lehner |
3- 5+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
96075o |
Isogeny class |
Conductor |
96075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
218880 |
Modular degree for the optimal curve |
Δ |
-1513465728075 = -1 · 310 · 52 · 75 · 61 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 6 -4 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-28740,1876266] |
[a1,a2,a3,a4,a6] |
j |
-144051062702080/83043387 |
j-invariant |
L |
1.6767616749187 |
L(r)(E,1)/r! |
Ω |
0.83838081243019 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32025r1 96075cd1 |
Quadratic twists by: -3 5 |