Atkin-Lehner |
2- 3- 5+ 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
40470bf |
Isogeny class |
Conductor |
40470 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
-766201740243750000 = -1 · 24 · 314 · 58 · 192 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -2 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-534996,156349440] |
[a1,a2,a3,a4,a6] |
Generators |
[306:-4770:1] |
Generators of the group modulo torsion |
j |
-16934616562855289272129/766201740243750000 |
j-invariant |
L |
10.160641128256 |
L(r)(E,1)/r! |
Ω |
0.28122434432021 |
Real period |
R |
0.64517892498258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121410m2 |
Quadratic twists by: -3 |