Atkin-Lehner |
3+ 5+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
33165d |
Isogeny class |
Conductor |
33165 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
24298171425 = 39 · 52 · 11 · 672 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 11- 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-758,3052] |
[a1,a2,a3,a4,a6] |
Generators |
[38:148:1] [-4:79:1] |
Generators of the group modulo torsion |
j |
2444008923/1234475 |
j-invariant |
L |
5.2755516291925 |
L(r)(E,1)/r! |
Ω |
1.0583293483373 |
Real period |
R |
2.4923959812134 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33165f1 |
Quadratic twists by: -3 |