Atkin-Lehner |
2+ 3- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
45024f |
Isogeny class |
Conductor |
45024 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
9802985472 = 212 · 36 · 72 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-609,3087] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:24:1] [-21:84:1] |
Generators of the group modulo torsion |
j |
6108415552/2393307 |
j-invariant |
L |
9.7853604916596 |
L(r)(E,1)/r! |
Ω |
1.174787007477 |
Real period |
R |
0.69412302183145 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45024a2 90048bh1 |
Quadratic twists by: -4 8 |