Atkin-Lehner |
2+ 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
41664h |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2591834112 = 214 · 36 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ -2 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4593,121329] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:324:1] [-15:432:1] |
Generators of the group modulo torsion |
j |
654165538000/158193 |
j-invariant |
L |
7.6324009893111 |
L(r)(E,1)/r! |
Ω |
1.4061540436782 |
Real period |
R |
2.7139277604846 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664dw2 5208d2 124992bu2 |
Quadratic twists by: -4 8 -3 |