Atkin-Lehner |
2+ 19+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
96064d |
Isogeny class |
Conductor |
96064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34816 |
Modular degree for the optimal curve |
Δ |
1869021184 = 216 · 192 · 79 |
Discriminant |
Eigenvalues |
2+ -1 -3 1 -2 5 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-417,-2399] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:16:1] [-8:19:1] |
Generators of the group modulo torsion |
j |
122657188/28519 |
j-invariant |
L |
8.0357654685662 |
L(r)(E,1)/r! |
Ω |
1.0739892003409 |
Real period |
R |
0.93527074873804 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000312 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96064ba1 12008c1 |
Quadratic twists by: -4 8 |