Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160cu |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
177797830256640000 = 214 · 34 · 54 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1597361,-777324561] |
[a1,a2,a3,a4,a6] |
Generators |
[290522:55330275:8] |
Generators of the group modulo torsion |
j |
15529488955216/6125625 |
j-invariant |
L |
7.6009723408307 |
L(r)(E,1)/r! |
Ω |
0.13429475271733 |
Real period |
R |
7.0748969816853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020501 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
116160fb2 14520h2 10560t2 |
Quadratic twists by: -4 8 -11 |