Atkin-Lehner |
2+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
120400h |
Isogeny class |
Conductor |
120400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
10354400000000 = 211 · 58 · 7 · 432 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 4 -2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5675,-55750] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:300:1] |
Generators of the group modulo torsion |
j |
631642482/323575 |
j-invariant |
L |
7.7765289793135 |
L(r)(E,1)/r! |
Ω |
0.58113168596597 |
Real period |
R |
1.6727123084408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999843007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60200j2 24080c2 |
Quadratic twists by: -4 5 |