Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
54096di |
Isogeny class |
Conductor |
54096 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-16758217211904 = -1 · 215 · 33 · 77 · 23 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 0 -5 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2336,192884] |
[a1,a2,a3,a4,a6] |
Generators |
[170:2352:1] |
Generators of the group modulo torsion |
j |
2924207/34776 |
j-invariant |
L |
9.6921294434311 |
L(r)(E,1)/r! |
Ω |
0.51250975590273 |
Real period |
R |
0.78796300393613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6762y1 7728j1 |
Quadratic twists by: -4 -7 |