Atkin-Lehner |
2+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
31958a |
Isogeny class |
Conductor |
31958 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.2984570049567E+19 |
Discriminant |
Eigenvalues |
2+ -1 3 2 3 -1 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-45291231,-117338257643] |
[a1,a2,a3,a4,a6] |
Generators |
[8586570:2234968453:125] |
Generators of the group modulo torsion |
j |
-17273411298654994657/21829288784 |
j-invariant |
L |
4.4271303373068 |
L(r)(E,1)/r! |
Ω |
0.029098191226353 |
Real period |
R |
9.5090325006558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1102e2 |
Quadratic twists by: 29 |