Atkin-Lehner |
2- 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
20916j |
Isogeny class |
Conductor |
20916 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
411264 |
Modular degree for the optimal curve |
Δ |
-42882594528413808 = -1 · 24 · 323 · 73 · 83 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 6 3 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3029421,-2029517471] |
[a1,a2,a3,a4,a6] |
j |
-263605881589063921408/3676491300447 |
j-invariant |
L |
2.7464425890067 |
L(r)(E,1)/r! |
Ω |
0.05721755393764 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83664bs1 6972e1 |
Quadratic twists by: -4 -3 |