Atkin-Lehner |
2- 19+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
96064x |
Isogeny class |
Conductor |
96064 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-98369536 = -1 · 216 · 19 · 79 |
Discriminant |
Eigenvalues |
2- -2 1 0 0 -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,95,351] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:16:1] |
Generators of the group modulo torsion |
j |
1431644/1501 |
j-invariant |
L |
3.6290506082975 |
L(r)(E,1)/r! |
Ω |
1.2533954489383 |
Real period |
R |
0.72384390336424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999763671 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96064h1 24016e1 |
Quadratic twists by: -4 8 |