Atkin-Lehner |
3- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
96075br |
Isogeny class |
Conductor |
96075 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-55401686279296875 = -1 · 312 · 512 · 7 · 61 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 2 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1536825,-733392594] |
[a1,a2,a3,a4,a6] |
j |
-35241096113238016/4863796875 |
j-invariant |
L |
0.27118746737683 |
L(r)(E,1)/r! |
Ω |
0.067796903514423 |
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 |
32025z1 19215l1 |
Quadratic twists by: -3 5 |