Atkin-Lehner |
2- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6370x |
Isogeny class |
Conductor |
6370 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
1498848260 = 22 · 5 · 78 · 13 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 4 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-295,-603] |
[a1,a2,a3,a4,a6] |
j |
24137569/12740 |
j-invariant |
L |
2.4446073690673 |
L(r)(E,1)/r! |
Ω |
1.2223036845337 |
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 |
50960br1 57330be1 31850ba1 910i1 |
Quadratic twists by: -4 -3 5 -7 |