Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
6370d |
Isogeny class |
Conductor |
6370 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
640 |
Modular degree for the optimal curve |
Δ |
-89180 = -1 · 22 · 5 · 73 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 0 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5,-15] |
[a1,a2,a3,a4,a6] |
Generators |
[3:3:1] |
Generators of the group modulo torsion |
j |
35937/260 |
j-invariant |
L |
2.5863705857293 |
L(r)(E,1)/r! |
Ω |
1.6903876656527 |
Real period |
R |
1.5300458221993 |
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 |
50960ba1 57330fd1 31850bp1 6370f1 |
Quadratic twists by: -4 -3 5 -7 |