Atkin-Lehner |
2- 3+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
123420u |
Isogeny class |
Conductor |
123420 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5568694717824311040 = 28 · 35 · 5 · 118 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11- 4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-655860,170233560] |
[a1,a2,a3,a4,a6] |
Generators |
[-1691159:702037644:50653] |
Generators of the group modulo torsion |
j |
68795769401296/12278839815 |
j-invariant |
L |
8.0162204058581 |
L(r)(E,1)/r! |
Ω |
0.22919042425085 |
Real period |
R |
8.7440611827046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046531 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11220f2 |
Quadratic twists by: -11 |