Atkin-Lehner |
3- 5- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
33825z |
Isogeny class |
Conductor |
33825 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
-18543596644051875 = -1 · 35 · 54 · 116 · 413 |
Discriminant |
Eigenvalues |
0 3- 5- -4 11+ -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-112683,-16003006] |
[a1,a2,a3,a4,a6] |
Generators |
[4602:83849:8] |
Generators of the group modulo torsion |
j |
-253176126735155200/29669754630483 |
j-invariant |
L |
4.0406045204089 |
L(r)(E,1)/r! |
Ω |
0.12943601176064 |
Real period |
R |
3.121700418181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101475ci2 33825c2 |
Quadratic twists by: -3 5 |