Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600ff |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
257250000000000 = 210 · 3 · 512 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30133,1869637] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:1400:1] |
Generators of the group modulo torsion |
j |
189123395584/16078125 |
j-invariant |
L |
5.0748158590586 |
L(r)(E,1)/r! |
Ω |
0.53957617177923 |
Real period |
R |
1.5675314949277 |
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 |
33600cp3 8400ck3 100800oh3 6720cj3 |
Quadratic twists by: -4 8 -3 5 |