Atkin-Lehner |
2+ 3+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
40050a |
Isogeny class |
Conductor |
40050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-8672440516875000000 = -1 · 26 · 39 · 510 · 893 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,513633,-505459] |
[a1,a2,a3,a4,a6] |
Generators |
[5030:357801:1] |
Generators of the group modulo torsion |
j |
77963379525/45118016 |
j-invariant |
L |
4.1825409728922 |
L(r)(E,1)/r! |
Ω |
0.13846542292453 |
Real period |
R |
7.5515982339742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40050v1 40050w2 |
Quadratic twists by: -3 5 |