Atkin-Lehner |
2+ 3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550bl |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
-1735027186299750000 = -1 · 24 · 313 · 56 · 76 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 0 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,276408,-29863184] |
[a1,a2,a3,a4,a6] |
Generators |
[404:-12352:1] |
Generators of the group modulo torsion |
j |
205034573717063/152320630896 |
j-invariant |
L |
3.1566228003945 |
L(r)(E,1)/r! |
Ω |
0.14854670160113 |
Real period |
R |
1.3281272719761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999729383 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38850by1 4662n1 |
Quadratic twists by: -3 5 |