Atkin-Lehner |
2- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
86336n |
Isogeny class |
Conductor |
86336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
37120 |
Modular degree for the optimal curve |
Δ |
-3138486272 = -1 · 215 · 19 · 712 |
Discriminant |
Eigenvalues |
2- -1 2 -1 -6 3 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-97,2753] |
[a1,a2,a3,a4,a6] |
Generators |
[16:71:1] |
Generators of the group modulo torsion |
j |
-3112136/95779 |
j-invariant |
L |
5.4495631490004 |
L(r)(E,1)/r! |
Ω |
1.1853285277985 |
Real period |
R |
1.1493782153381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954471 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86336m1 43168a1 |
Quadratic twists by: -4 8 |