Atkin-Lehner |
2- 3- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
33390bm |
Isogeny class |
Conductor |
33390 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
82151921250 = 2 · 311 · 54 · 7 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8654693,9802152731] |
[a1,a2,a3,a4,a6] |
Generators |
[115444:427153:64] |
Generators of the group modulo torsion |
j |
98344740391882129199881/112691250 |
j-invariant |
L |
7.9394976887884 |
L(r)(E,1)/r! |
Ω |
0.48194567343876 |
Real period |
R |
8.2369218423922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130r3 |
Quadratic twists by: -3 |