Atkin-Lehner |
2+ 3- 5+ 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
122670o |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
136120619277360000 = 27 · 316 · 54 · 292 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-255735,46568925] |
[a1,a2,a3,a4,a6] |
Generators |
[-315:9945:1] |
Generators of the group modulo torsion |
j |
2537275631985678961/186722385840000 |
j-invariant |
L |
2.7908256706984 |
L(r)(E,1)/r! |
Ω |
0.32110894694064 |
Real period |
R |
2.1728028046048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999595571 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40890bh2 |
Quadratic twists by: -3 |