Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6370n |
Isogeny class |
Conductor |
6370 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-17366515712000 = -1 · 224 · 53 · 72 · 132 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9101,385923] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:852:1] |
Generators of the group modulo torsion |
j |
-1701366814932001/354418688000 |
j-invariant |
L |
4.5705891129933 |
L(r)(E,1)/r! |
Ω |
0.66272759938278 |
Real period |
R |
0.14367985671545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50960u1 57330cc1 31850u1 6370s1 |
Quadratic twists by: -4 -3 5 -7 |