Atkin-Lehner |
2- 3+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
20874bc |
Isogeny class |
Conductor |
20874 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-149453289468 = -1 · 22 · 32 · 77 · 712 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 0 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2255,-46159] |
[a1,a2,a3,a4,a6] |
Generators |
[447:9184:1] |
Generators of the group modulo torsion |
j |
-10779215329/1270332 |
j-invariant |
L |
4.5729465380728 |
L(r)(E,1)/r! |
Ω |
0.34412593243285 |
Real period |
R |
3.3221461295751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62622bg1 2982l1 |
Quadratic twists by: -3 -7 |