Atkin-Lehner |
2+ 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
40200n |
Isogeny class |
Conductor |
40200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
404010000000000 = 210 · 32 · 510 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-335008,-74738512] |
[a1,a2,a3,a4,a6] |
Generators |
[107183140795972:2587945792320000:107782217479] |
Generators of the group modulo torsion |
j |
259878624962404/25250625 |
j-invariant |
L |
7.8858212389579 |
L(r)(E,1)/r! |
Ω |
0.19844409671883 |
Real period |
R |
19.869125283515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
80400c2 120600bz2 8040i2 |
Quadratic twists by: -4 -3 5 |