Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160cz |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-64653756456960000 = -1 · 216 · 34 · 54 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,77279,9041855] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:1815:1] |
Generators of the group modulo torsion |
j |
439608956/556875 |
j-invariant |
L |
7.4763974907481 |
L(r)(E,1)/r! |
Ω |
0.2342486935655 |
Real period |
R |
1.9947809979442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009717 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160ff3 14520be4 10560p4 |
Quadratic twists by: -4 8 -11 |