Atkin-Lehner |
2- 3+ 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
33540a |
Isogeny class |
Conductor |
33540 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
503100000000 = 28 · 32 · 58 · 13 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2356,28600] |
[a1,a2,a3,a4,a6] |
Generators |
[1:162:1] |
Generators of the group modulo torsion |
j |
5651892952144/1965234375 |
j-invariant |
L |
2.8846759750636 |
L(r)(E,1)/r! |
Ω |
0.85418159813127 |
Real period |
R |
3.3771225947437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100620d2 |
Quadratic twists by: -3 |