Atkin-Lehner |
2+ 3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
40200a |
Isogeny class |
Conductor |
40200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3435319654560000000 = 211 · 314 · 57 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1226408,-514687188] |
[a1,a2,a3,a4,a6] |
Generators |
[-175425472:-636252975:262144] |
Generators of the group modulo torsion |
j |
6374982726455618/107353739205 |
j-invariant |
L |
4.9790563306356 |
L(r)(E,1)/r! |
Ω |
0.1436098876932 |
Real period |
R |
8.6676767362815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80400bf2 120600bn2 8040j2 |
Quadratic twists by: -4 -3 5 |