Atkin-Lehner |
2- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6370u |
Isogeny class |
Conductor |
6370 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6656 |
Modular degree for the optimal curve |
Δ |
-3483593750 = -1 · 2 · 58 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 3 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4390,-112358] |
[a1,a2,a3,a4,a6] |
j |
-27279055902727/10156250 |
j-invariant |
L |
4.6920561115145 |
L(r)(E,1)/r! |
Ω |
0.29325350696966 |
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 |
50960bq1 57330ba1 31850y1 6370o1 |
Quadratic twists by: -4 -3 5 -7 |