Atkin-Lehner |
2- 5- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
62050bh |
Isogeny class |
Conductor |
62050 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
21097000000000 = 29 · 59 · 172 · 73 |
Discriminant |
Eigenvalues |
2- -1 5- -3 -5 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-783888,266807281] |
[a1,a2,a3,a4,a6] |
Generators |
[13845:-9061:27] [101:13685:1] |
Generators of the group modulo torsion |
j |
27274434591609197/10801664 |
j-invariant |
L |
11.128049453706 |
L(r)(E,1)/r! |
Ω |
0.55284624511851 |
Real period |
R |
0.55912921097775 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62050o1 |
Quadratic twists by: 5 |