Atkin-Lehner |
2+ 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
109330d |
Isogeny class |
Conductor |
109330 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2007040 |
Modular degree for the optimal curve |
Δ |
6186162538400000 = 28 · 55 · 13 · 296 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 2 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-707299,-228983778] |
[a1,a2,a3,a4,a6] |
Generators |
[1119:18960:1] |
Generators of the group modulo torsion |
j |
65787589563409/10400000 |
j-invariant |
L |
1.973673027963 |
L(r)(E,1)/r! |
Ω |
0.16462772888744 |
Real period |
R |
5.9943519523118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996546579 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
130c1 |
Quadratic twists by: 29 |