Atkin-Lehner |
3- 5+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
58575s |
Isogeny class |
Conductor |
58575 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
155683014609375 = 33 · 57 · 114 · 712 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13526,77573] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:856:1] |
Generators of the group modulo torsion |
j |
17513206928209/9963712935 |
j-invariant |
L |
10.113896128008 |
L(r)(E,1)/r! |
Ω |
0.49524118895784 |
Real period |
R |
0.85092344510988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999691 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11715b2 |
Quadratic twists by: 5 |