Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3640d |
Isogeny class |
Conductor |
3640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
998816000 = 28 · 53 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 6 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-476,3860] |
[a1,a2,a3,a4,a6] |
j |
46689225424/3901625 |
j-invariant |
L |
3.0491715957497 |
L(r)(E,1)/r! |
Ω |
1.5245857978749 |
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 |
7280b1 29120bg1 32760bq1 18200r1 |
Quadratic twists by: -4 8 -3 5 |