Atkin-Lehner |
3+ 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
33825d |
Isogeny class |
Conductor |
33825 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
57921612890625 = 36 · 58 · 112 · 412 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11+ -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13250,453375] |
[a1,a2,a3,a4,a6] |
Generators |
[190:2105:1] |
Generators of the group modulo torsion |
j |
16466546841121/3706983225 |
j-invariant |
L |
4.427977277434 |
L(r)(E,1)/r! |
Ω |
0.59012009763397 |
Real period |
R |
3.7517594259096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
101475bu2 6765f2 |
Quadratic twists by: -3 5 |