Atkin-Lehner |
3- 5+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
98175bi |
Isogeny class |
Conductor |
98175 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
126391043859609375 = 33 · 57 · 72 · 114 · 174 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11+ -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-900213,-328379958] |
[a1,a2,a3,a4,a6] |
Generators |
[-558:804:1] [-543:909:1] |
Generators of the group modulo torsion |
j |
5163445021621121929/8089026807015 |
j-invariant |
L |
8.9282272605765 |
L(r)(E,1)/r! |
Ω |
0.15500799345117 |
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 |
19635a3 |
Quadratic twists by: 5 |