Atkin-Lehner |
3- 5+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
98175bi |
Isogeny class |
Conductor |
98175 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
284242971181640625 = 33 · 510 · 78 · 11 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11+ -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-704463,226071792] |
[a1,a2,a3,a4,a6] |
Generators |
[-963:3894:1] [87:12819:1] |
Generators of the group modulo torsion |
j |
2474447753486836009/18191550155625 |
j-invariant |
L |
8.9282272605765 |
L(r)(E,1)/r! |
Ω |
0.31001598690234 |
Real period |
R |
1.1999686627839 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999985444 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19635a4 |
Quadratic twists by: 5 |