Atkin-Lehner |
2+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
92950bk |
Isogeny class |
Conductor |
92950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
413952 |
Modular degree for the optimal curve |
Δ |
-13592294144000 = -1 · 211 · 53 · 11 · 136 |
Discriminant |
Eigenvalues |
2+ -3 5- 1 11- 13+ -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2482,184276] |
[a1,a2,a3,a4,a6] |
Generators |
[49:398:1] |
Generators of the group modulo torsion |
j |
-2803221/22528 |
j-invariant |
L |
2.853915091189 |
L(r)(E,1)/r! |
Ω |
0.60559408894097 |
Real period |
R |
1.1781468497501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000065652 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92950db1 550j1 |
Quadratic twists by: 5 13 |