Atkin-Lehner |
2+ 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840h |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4176000000000000 = -1 · 216 · 32 · 512 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1439,-3109535] |
[a1,a2,a3,a4,a6] |
Generators |
[6349560:-24617111:42875] |
Generators of the group modulo torsion |
j |
5024864156/63720703125 |
j-invariant |
L |
5.1216110503212 |
L(r)(E,1)/r! |
Ω |
0.20242072972122 |
Real period |
R |
12.650905510949 |
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 |
27840dl3 3480l4 83520dd3 |
Quadratic twists by: -4 8 -3 |