Atkin-Lehner |
5+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
49855b |
Isogeny class |
Conductor |
49855 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-10889707383636835 = -1 · 5 · 139 · 593 |
Discriminant |
Eigenvalues |
-1 -2 5+ 1 -3 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-51126,-6712889] |
[a1,a2,a3,a4,a6] |
Generators |
[4070:257211:1] |
Generators of the group modulo torsion |
j |
-1393668613/1026895 |
j-invariant |
L |
1.6423189108638 |
L(r)(E,1)/r! |
Ω |
0.1538003212032 |
Real period |
R |
1.7797090170861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000045 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49855d1 |
Quadratic twists by: 13 |