Atkin-Lehner |
3- 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
110019v |
Isogeny class |
Conductor |
110019 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5778253849855851 = 34 · 7 · 139 · 312 |
Discriminant |
Eigenvalues |
-1 3- 2 7- -4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13321002757,591769634171390] |
[a1,a2,a3,a4,a6] |
Generators |
[15349261592915:-7693980004870:230346397] |
Generators of the group modulo torsion |
j |
54159463405004131864095149017/1197116739 |
j-invariant |
L |
6.271343007684 |
L(r)(E,1)/r! |
Ω |
0.10122460196679 |
Real period |
R |
15.488682861743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999633328 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8463i3 |
Quadratic twists by: 13 |