Atkin-Lehner |
2+ 3+ 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
33390d |
Isogeny class |
Conductor |
33390 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-189164485868400 = -1 · 24 · 33 · 52 · 76 · 533 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -6 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2445,-660699] |
[a1,a2,a3,a4,a6] |
Generators |
[190:2481:1] |
Generators of the group modulo torsion |
j |
59854474214613/7006092069200 |
j-invariant |
L |
3.4447459363432 |
L(r)(E,1)/r! |
Ω |
0.26877172646125 |
Real period |
R |
3.2041557920708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
33390be3 |
Quadratic twists by: -3 |