Atkin-Lehner |
3- 5+ 11+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
122265h |
Isogeny class |
Conductor |
122265 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
203783599305 = 37 · 5 · 11 · 13 · 194 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11+ 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-103028,-12702778] |
[a1,a2,a3,a4,a6] |
Generators |
[-185:96:1] |
Generators of the group modulo torsion |
j |
165904451805851641/279538545 |
j-invariant |
L |
2.8316278913619 |
L(r)(E,1)/r! |
Ω |
0.26647784684851 |
Real period |
R |
2.6565320847362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000322302 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40755x4 |
Quadratic twists by: -3 |