Atkin-Lehner |
2- 3+ 7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
107184bk |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
320973638565888 = 215 · 32 · 76 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11+ 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-883465528,10107533281648] |
[a1,a2,a3,a4,a6] |
Generators |
[29836:3210480:1] |
Generators of the group modulo torsion |
j |
18617981304923189443593501625/78362704728 |
j-invariant |
L |
6.0424386087747 |
L(r)(E,1)/r! |
Ω |
0.17633290450553 |
Real period |
R |
4.2834026296462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999900003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398u4 |
Quadratic twists by: -4 |