Atkin-Lehner |
2+ 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
79968p |
Isogeny class |
Conductor |
79968 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-304523168549376 = -1 · 29 · 3 · 79 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- -5 -1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22360,1544068] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:1666:1] |
Generators of the group modulo torsion |
j |
-20525811272/5055477 |
j-invariant |
L |
5.0946492043716 |
L(r)(E,1)/r! |
Ω |
0.51948075774775 |
Real period |
R |
0.81726626856937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973197 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79968ct1 11424i1 |
Quadratic twists by: -4 -7 |