Atkin-Lehner |
2+ 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
72896g |
Isogeny class |
Conductor |
72896 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
21255307264 = 214 · 172 · 672 |
Discriminant |
Eigenvalues |
2+ 0 -2 4 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6076,182160] |
[a1,a2,a3,a4,a6] |
Generators |
[2034:31059:8] |
Generators of the group modulo torsion |
j |
1514108747088/1297321 |
j-invariant |
L |
6.574191623228 |
L(r)(E,1)/r! |
Ω |
1.2023067507701 |
Real period |
R |
5.4679819586144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001973 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
72896o2 9112b2 |
Quadratic twists by: -4 8 |