Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
1290m |
Isogeny class |
Conductor |
1290 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
640 |
Modular degree for the optimal curve |
Δ |
66873600 = 28 · 35 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -2 -6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-191,921] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:37:1] |
Generators of the group modulo torsion |
j |
770842973809/66873600 |
j-invariant |
L |
3.7499561891523 |
L(r)(E,1)/r! |
Ω |
1.9080101817227 |
Real period |
R |
0.098268767773726 |
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 |
10320r1 41280x1 3870h1 6450e1 |
Quadratic twists by: -4 8 -3 5 |