Atkin-Lehner |
2+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3640b |
Isogeny class |
Conductor |
3640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-6054749209600 = -1 · 210 · 52 · 72 · 136 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -2 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2616,129980] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:420:1] |
Generators of the group modulo torsion |
j |
-1934207124196/5912841025 |
j-invariant |
L |
4.3821465966527 |
L(r)(E,1)/r! |
Ω |
0.66444464293813 |
Real period |
R |
1.6488004844449 |
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 |
7280d2 29120u2 32760bk2 18200u2 |
Quadratic twists by: -4 8 -3 5 |