Atkin-Lehner |
2+ 3+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
61446g |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
44640 |
Modular degree for the optimal curve |
Δ |
8096677974 = 2 · 33 · 72 · 115 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 11+ 4 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-872,8562] |
[a1,a2,a3,a4,a6] |
Generators |
[7:50:1] |
Generators of the group modulo torsion |
j |
1499184379609/165238326 |
j-invariant |
L |
4.0583506700432 |
L(r)(E,1)/r! |
Ω |
1.270720021708 |
Real period |
R |
3.1937410293572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997253 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61446q1 |
Quadratic twists by: -7 |