Atkin-Lehner |
2+ 3+ 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
33150m |
Isogeny class |
Conductor |
33150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
20604796875000 = 23 · 33 · 59 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 0 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-144575,-21217875] |
[a1,a2,a3,a4,a6] |
Generators |
[-480623:272312:2197] |
Generators of the group modulo torsion |
j |
171111015873413/10549656 |
j-invariant |
L |
4.3360453259778 |
L(r)(E,1)/r! |
Ω |
0.24483723705368 |
Real period |
R |
8.8549547817099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99450dp2 33150cl2 |
Quadratic twists by: -3 5 |