Atkin-Lehner |
2+ 19- 79- |
Signs for the Atkin-Lehner involutions |
Class |
96064n |
Isogeny class |
Conductor |
96064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-1869021184 = -1 · 216 · 192 · 79 |
Discriminant |
Eigenvalues |
2+ 2 2 2 4 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-97,2145] |
[a1,a2,a3,a4,a6] |
Generators |
[435:9060:1] |
Generators of the group modulo torsion |
j |
-1556068/28519 |
j-invariant |
L |
13.482164810108 |
L(r)(E,1)/r! |
Ω |
1.2487888222662 |
Real period |
R |
5.3980963722314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999909444 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96064s1 12008d1 |
Quadratic twists by: -4 8 |