Atkin-Lehner |
2+ 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
42600i |
Isogeny class |
Conductor |
42600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
11614464000 = 211 · 32 · 53 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-568,368] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:585:8] |
Generators of the group modulo torsion |
j |
79303642/45369 |
j-invariant |
L |
7.4089974361241 |
L(r)(E,1)/r! |
Ω |
1.0901048052583 |
Real period |
R |
3.3982959254856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85200q2 127800bt2 42600u2 |
Quadratic twists by: -4 -3 5 |