Atkin-Lehner |
2- 3- 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
44304l |
Isogeny class |
Conductor |
44304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
113227334418432 = 218 · 3 · 134 · 712 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -4 13+ -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12384,134772] |
[a1,a2,a3,a4,a6] |
Generators |
[1532:59826:1] |
Generators of the group modulo torsion |
j |
51283972980577/27643392192 |
j-invariant |
L |
4.2465025175937 |
L(r)(E,1)/r! |
Ω |
0.51717394030224 |
Real period |
R |
4.1054877157072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5538m2 |
Quadratic twists by: -4 |