Atkin-Lehner |
2+ 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33840l |
Isogeny class |
Conductor |
33840 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
83481114240000 = 210 · 310 · 54 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12027,253946] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:810:1] |
Generators of the group modulo torsion |
j |
257731890916/111830625 |
j-invariant |
L |
6.5928870805989 |
L(r)(E,1)/r! |
Ω |
0.54734699608748 |
Real period |
R |
1.5056461275309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16920h2 11280c2 |
Quadratic twists by: -4 -3 |