Atkin-Lehner |
2- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712bw |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-5840234773283176448 = -1 · 215 · 75 · 139 |
Discriminant |
Eigenvalues |
2- 1 0 7+ 1 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,427007,44690335] |
[a1,a2,a3,a4,a6] |
j |
54439939000/36924979 |
j-invariant |
L |
0.60383784541748 |
L(r)(E,1)/r! |
Ω |
0.15095946763759 |
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 |
75712cr1 37856k1 5824z1 |
Quadratic twists by: -4 8 13 |