Atkin-Lehner |
2+ 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352f |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
317358784512 = 214 · 33 · 72 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ 11- -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2652,45040] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:264:1] [53:-231:1] |
Generators of the group modulo torsion |
j |
4662947952/717409 |
j-invariant |
L |
7.2498148920577 |
L(r)(E,1)/r! |
Ω |
0.92555757963879 |
Real period |
R |
0.48955725794012 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352de2 2772a2 44352c2 |
Quadratic twists by: -4 8 -3 |