Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
44688du |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
175354098941952 = 216 · 32 · 77 · 192 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 2 0 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-469240,-123875116] |
[a1,a2,a3,a4,a6] |
Generators |
[12428:1383390:1] |
Generators of the group modulo torsion |
j |
23711636464489/363888 |
j-invariant |
L |
4.9210027077227 |
L(r)(E,1)/r! |
Ω |
0.18241104061936 |
Real period |
R |
6.7443871420815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5586f2 6384s2 |
Quadratic twists by: -4 -7 |