Atkin-Lehner |
2+ 5+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
123370c |
Isogeny class |
Conductor |
123370 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3.0387194467127E+21 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-175317224,-893490990858] |
[a1,a2,a3,a4,a6] |
Generators |
[-5986401267352998226431789558765:3779252553510636232940810114833:781931117153771510485558851] |
Generators of the group modulo torsion |
j |
123463149303741497939521/629550381362240 |
j-invariant |
L |
3.3574114016164 |
L(r)(E,1)/r! |
Ω |
0.041490010191531 |
Real period |
R |
40.460479355362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9490m3 |
Quadratic twists by: 13 |