Atkin-Lehner |
2- 3- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
87984be |
Isogeny class |
Conductor |
87984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4838400 |
Modular degree for the optimal curve |
Δ |
-9.8350033942448E+20 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 -6 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,713157,1490934890] |
[a1,a2,a3,a4,a6] |
Generators |
[4121585:213360640:2197] |
Generators of the group modulo torsion |
j |
13433577463965959/329372273737728 |
j-invariant |
L |
7.5702976290819 |
L(r)(E,1)/r! |
Ω |
0.11731585992125 |
Real period |
R |
8.0661489785111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996645 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10998o1 29328j1 |
Quadratic twists by: -4 -3 |