Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52020q |
Isogeny class |
Conductor |
52020 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-56883870000 = -1 · 24 · 39 · 54 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 0 5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15708,-757843] |
[a1,a2,a3,a4,a6] |
Generators |
[2498:39825:8] |
Generators of the group modulo torsion |
j |
-127157223424/16875 |
j-invariant |
L |
6.4931275596668 |
L(r)(E,1)/r! |
Ω |
0.21322389776185 |
Real period |
R |
3.8065195950095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17340f1 52020bj1 |
Quadratic twists by: -3 17 |