Atkin-Lehner |
2+ 3- 5- 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
40470y |
Isogeny class |
Conductor |
40470 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2515692902400 = 211 · 33 · 52 · 192 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -6 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-295053,61662856] |
[a1,a2,a3,a4,a6] |
Generators |
[290:567:1] |
Generators of the group modulo torsion |
j |
2840675989847955746761/2515692902400 |
j-invariant |
L |
5.6195043328597 |
L(r)(E,1)/r! |
Ω |
0.67958182338186 |
Real period |
R |
1.3781770248297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121410u2 |
Quadratic twists by: -3 |