Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
56400v |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
52175696400000000 = 210 · 310 · 58 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-476408,125929188] |
[a1,a2,a3,a4,a6] |
Generators |
[-122:13500:1] |
Generators of the group modulo torsion |
j |
747380527031236/3260981025 |
j-invariant |
L |
5.7229863001529 |
L(r)(E,1)/r! |
Ω |
0.35696074225762 |
Real period |
R |
0.80162684892988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28200u2 11280b2 |
Quadratic twists by: -4 5 |