Atkin-Lehner |
2+ 3- 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
33390v |
Isogeny class |
Conductor |
33390 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-4522989037108500 = -1 · 22 · 311 · 53 · 73 · 533 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 3 -1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1274229,553957785] |
[a1,a2,a3,a4,a6] |
Generators |
[-1224:17307:1] |
Generators of the group modulo torsion |
j |
-313862066777071180369/6204374536500 |
j-invariant |
L |
5.2185497004134 |
L(r)(E,1)/r! |
Ω |
0.40118243333564 |
Real period |
R |
1.0839934791892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
11130bb2 |
Quadratic twists by: -3 |