Atkin-Lehner |
2+ 5- 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
63440d |
Isogeny class |
Conductor |
63440 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
2285568 |
Modular degree for the optimal curve |
Δ |
89997966500000000 = 28 · 59 · 13 · 614 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 -6 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8458580,-9471595172] |
[a1,a2,a3,a4,a6] |
Generators |
[3651:91250:1] |
Generators of the group modulo torsion |
j |
261442496320537167904336/351554556640625 |
j-invariant |
L |
3.9874288942918 |
L(r)(E,1)/r! |
Ω |
0.08852689258349 |
Real period |
R |
5.0046674177921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000233 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31720e1 |
Quadratic twists by: -4 |