Atkin-Lehner |
2- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52598bb |
Isogeny class |
Conductor |
52598 |
Conductor |
∏ cp |
460 |
Product of Tamagawa factors cp |
deg |
8743680 |
Modular degree for the optimal curve |
Δ |
-1.2710206512017E+23 |
Discriminant |
Eigenvalues |
2- -2 -3 7- -4 13+ 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,12136838,-5417463324] |
[a1,a2,a3,a4,a6] |
Generators |
[1316:112630:1] |
Generators of the group modulo torsion |
j |
8191187117050762943/5265735962066944 |
j-invariant |
L |
4.2633777695802 |
L(r)(E,1)/r! |
Ω |
0.059709751870752 |
Real period |
R |
0.15522108620919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3094d1 |
Quadratic twists by: 17 |