Atkin-Lehner |
3- 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58305l |
Isogeny class |
Conductor |
58305 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-41028698867583375 = -1 · 35 · 53 · 136 · 234 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,77145,5198400] |
[a1,a2,a3,a4,a6] |
Generators |
[105:-3855:1] |
Generators of the group modulo torsion |
j |
10519294081031/8500170375 |
j-invariant |
L |
3.3416386548083 |
L(r)(E,1)/r! |
Ω |
0.23372016097716 |
Real period |
R |
0.95317369881843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997086 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
345c1 |
Quadratic twists by: 13 |