Atkin-Lehner |
2+ 3- 7- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
33306k |
Isogeny class |
Conductor |
33306 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
317512825812 = 22 · 32 · 72 · 13 · 614 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-122382,-16488836] |
[a1,a2,a3,a4,a6] |
Generators |
[-202:105:1] |
Generators of the group modulo torsion |
j |
202708168490004382297/317512825812 |
j-invariant |
L |
4.4415369172051 |
L(r)(E,1)/r! |
Ω |
0.25525287008321 |
Real period |
R |
2.1750670794402 |
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 |
99918bh4 |
Quadratic twists by: -3 |