Atkin-Lehner |
2+ 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840d |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4576684861440000 = 214 · 312 · 54 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-704721,227917521] |
[a1,a2,a3,a4,a6] |
Generators |
[89:12880:1] |
Generators of the group modulo torsion |
j |
2362414115152710736/279338675625 |
j-invariant |
L |
4.1811565575717 |
L(r)(E,1)/r! |
Ω |
0.41830301770582 |
Real period |
R |
4.9977604518647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27840dh2 3480s2 83520cw2 |
Quadratic twists by: -4 8 -3 |