Atkin-Lehner |
2+ 3- 5+ 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
40470v |
Isogeny class |
Conductor |
40470 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
77580990000 = 24 · 34 · 54 · 19 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 6 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1289,11612] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:154:1] |
Generators of the group modulo torsion |
j |
236590905543049/77580990000 |
j-invariant |
L |
5.0686739821054 |
L(r)(E,1)/r! |
Ω |
1.0023292808082 |
Real period |
R |
0.63211188168835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121410br2 |
Quadratic twists by: -3 |