Atkin-Lehner |
2+ 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840b |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-97317722857144320 = -1 · 222 · 38 · 5 · 294 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-63521,-16203615] |
[a1,a2,a3,a4,a6] |
Generators |
[51148649968:-132810750171:151419437] |
Generators of the group modulo torsion |
j |
-108129104595721/371237651280 |
j-invariant |
L |
4.5935070599039 |
L(r)(E,1)/r! |
Ω |
0.13816951011217 |
Real period |
R |
16.622723262805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27840dg3 870d4 83520cs3 |
Quadratic twists by: -4 8 -3 |