Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200cq |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-12265344000 = -1 · 210 · 34 · 53 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,552,-1692] |
[a1,a2,a3,a4,a6] |
Generators |
[18:120:1] |
Generators of the group modulo torsion |
j |
145058764/95823 |
j-invariant |
L |
10.187510056042 |
L(r)(E,1)/r! |
Ω |
0.72191662954789 |
Real period |
R |
0.88198463747916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002671 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54600bv2 109200bb2 |
Quadratic twists by: -4 5 |