Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200gx |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
313878199025664000 = 217 · 34 · 53 · 72 · 136 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-701968,-224996332] |
[a1,a2,a3,a4,a6] |
Generators |
[-478:1248:1] |
Generators of the group modulo torsion |
j |
74714744246072741/613043357472 |
j-invariant |
L |
8.2893501672681 |
L(r)(E,1)/r! |
Ω |
0.1650194365567 |
Real period |
R |
0.52325592011443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053675 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650ci2 109200eo2 |
Quadratic twists by: -4 5 |