Atkin-Lehner |
3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
50715bo |
Isogeny class |
Conductor |
50715 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-9726253348179375 = -1 · 36 · 54 · 79 · 232 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 0 4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,16528,-4678054] |
[a1,a2,a3,a4,a6] |
j |
16974593/330625 |
j-invariant |
L |
1.589570772614 |
L(r)(E,1)/r! |
Ω |
0.19869634657369 |
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 |
5635d1 50715r1 |
Quadratic twists by: -3 -7 |