Atkin-Lehner |
2- 3+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
57408ct |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-143290368 = -1 · 212 · 32 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 -2 13- 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,71,505] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:16:1] [1:24:1] |
Generators of the group modulo torsion |
j |
9528128/34983 |
j-invariant |
L |
6.5378934865914 |
L(r)(E,1)/r! |
Ω |
1.304926853509 |
Real period |
R |
1.2525402226603 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999895 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408dp2 28704s1 |
Quadratic twists by: -4 8 |