Atkin-Lehner |
2- 3+ 29- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
31842r |
Isogeny class |
Conductor |
31842 |
Conductor |
∏ cp |
460 |
Product of Tamagawa factors cp |
deg |
618240 |
Modular degree for the optimal curve |
Δ |
-1.7286350873731E+19 |
Discriminant |
Eigenvalues |
2- 3+ -1 -1 -4 4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,539137,129473575] |
[a1,a2,a3,a4,a6] |
Generators |
[-173:5654:1] |
Generators of the group modulo torsion |
j |
641886314435022947373/640235217545592832 |
j-invariant |
L |
7.4383701662229 |
L(r)(E,1)/r! |
Ω |
0.14425949769476 |
Real period |
R |
0.11209223784202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31842a1 |
Quadratic twists by: -3 |