Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6370l |
Isogeny class |
Conductor |
6370 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8400432722500 = -1 · 22 · 54 · 76 · 134 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3268,157707] |
[a1,a2,a3,a4,a6] |
Generators |
[37:275:1] |
Generators of the group modulo torsion |
j |
-32798729601/71402500 |
j-invariant |
L |
5.428420266889 |
L(r)(E,1)/r! |
Ω |
0.65315704801648 |
Real period |
R |
2.0777622638285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50960s3 57330cd3 31850r3 130b4 |
Quadratic twists by: -4 -3 5 -7 |