Atkin-Lehner |
2+ 31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
93248f |
Isogeny class |
Conductor |
93248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-22940499968 = -1 · 214 · 313 · 47 |
Discriminant |
Eigenvalues |
2+ 3 0 0 4 1 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3580,-82768] |
[a1,a2,a3,a4,a6] |
Generators |
[32716031901684:113389713397160:437764156857] |
Generators of the group modulo torsion |
j |
-309708306000/1400177 |
j-invariant |
L |
13.49521478743 |
L(r)(E,1)/r! |
Ω |
0.30851858619882 |
Real period |
R |
21.870991556297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93248bp1 5828c1 |
Quadratic twists by: -4 8 |