Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
33840k |
Isogeny class |
Conductor |
33840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1387651500000000000 = 211 · 310 · 512 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-439923,96959122] |
[a1,a2,a3,a4,a6] |
Generators |
[542:4212:1] |
Generators of the group modulo torsion |
j |
6306613794505442/929443359375 |
j-invariant |
L |
4.3469602094271 |
L(r)(E,1)/r! |
Ω |
0.25923644681051 |
Real period |
R |
4.1920804953447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16920e4 11280h4 |
Quadratic twists by: -4 -3 |