Atkin-Lehner |
2- 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58604c |
Isogeny class |
Conductor |
58604 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-39449168201241344 = -1 · 28 · 78 · 133 · 233 |
Discriminant |
Eigenvalues |
2- -1 3 7- 3 13+ 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-758389,254638721] |
[a1,a2,a3,a4,a6] |
Generators |
[12000:61397:27] |
Generators of the group modulo torsion |
j |
-1601666731737088/1309814051 |
j-invariant |
L |
7.0332880893004 |
L(r)(E,1)/r! |
Ω |
0.36090178435602 |
Real period |
R |
4.8720236323658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998841 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8372d2 |
Quadratic twists by: -7 |