Atkin-Lehner |
2+ 3+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
20874j |
Isogeny class |
Conductor |
20874 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-10741692058524 = -1 · 22 · 38 · 78 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 2 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,906,-156960] |
[a1,a2,a3,a4,a6] |
Generators |
[560:13000:1] |
Generators of the group modulo torsion |
j |
697864103/91302876 |
j-invariant |
L |
4.1187607214306 |
L(r)(E,1)/r! |
Ω |
0.34094821452604 |
Real period |
R |
6.0401558740471 |
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 |
62622ce1 2982d1 |
Quadratic twists by: -3 -7 |