Atkin-Lehner |
2- 3+ 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
96720bi |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
125333966684160 = 220 · 33 · 5 · 134 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15816,549360] |
[a1,a2,a3,a4,a6] |
Generators |
[29:338:1] |
Generators of the group modulo torsion |
j |
106827039259849/30599112960 |
j-invariant |
L |
2.3682442970361 |
L(r)(E,1)/r! |
Ω |
0.54625257787431 |
Real period |
R |
2.1677191169139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999391648 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12090j1 |
Quadratic twists by: -4 |