Atkin-Lehner |
3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
117975q |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
35624984484375 = 32 · 56 · 117 · 13 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 11- 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20763663,-36425643594] |
[a1,a2,a3,a4,a6] |
Generators |
[4394475:172613773:729] |
Generators of the group modulo torsion |
j |
35765103905346817/1287 |
j-invariant |
L |
3.3527666923314 |
L(r)(E,1)/r! |
Ω |
0.070725098614916 |
Real period |
R |
11.851403231786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000128725 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4719j3 10725a4 |
Quadratic twists by: 5 -11 |