Atkin-Lehner |
2- 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
96432bi |
Isogeny class |
Conductor |
96432 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-293998512275177472 = -1 · 214 · 312 · 77 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- -6 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-376336,-92485952] |
[a1,a2,a3,a4,a6] |
Generators |
[223480:8791056:125] |
Generators of the group modulo torsion |
j |
-12232183057921/610094268 |
j-invariant |
L |
7.03953852744 |
L(r)(E,1)/r! |
Ω |
0.096098155849252 |
Real period |
R |
9.1567034714005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999984885 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12054bi1 13776bd1 |
Quadratic twists by: -4 -7 |