Atkin-Lehner |
3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
117975q |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.041748290041E+20 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 11- 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1433913,-442905594] |
[a1,a2,a3,a4,a6] |
Generators |
[-390:7757:1] |
Generators of the group modulo torsion |
j |
11779205551777/3763454409 |
j-invariant |
L |
3.3527666923314 |
L(r)(E,1)/r! |
Ω |
0.14145019722983 |
Real period |
R |
2.9628508079465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000128725 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4719j4 10725a3 |
Quadratic twists by: 5 -11 |