Atkin-Lehner |
2- 3+ 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
107184bs |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
60633057324736512 = 213 · 316 · 72 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 11+ 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-583560,-170979984] |
[a1,a2,a3,a4,a6] |
Generators |
[-451:518:1] |
Generators of the group modulo torsion |
j |
5365634122561071241/14802992510922 |
j-invariant |
L |
3.0441178206051 |
L(r)(E,1)/r! |
Ω |
0.17276275813788 |
Real period |
R |
4.4050550084401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028173 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398n2 |
Quadratic twists by: -4 |