Atkin-Lehner |
3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
117975q |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
45849355031390625 = 34 · 56 · 118 · 132 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 11- 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1297788,-569501844] |
[a1,a2,a3,a4,a6] |
Generators |
[4960:336707:1] |
Generators of the group modulo torsion |
j |
8732907467857/1656369 |
j-invariant |
L |
3.3527666923314 |
L(r)(E,1)/r! |
Ω |
0.14145019722983 |
Real period |
R |
5.9257016158931 |
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 |
4719j2 10725a2 |
Quadratic twists by: 5 -11 |