Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
52020ba |
Isogeny class |
Conductor |
52020 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-1826604270000 = -1 · 24 · 37 · 54 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -4 1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3468,102017] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:-425:1] [-38:423:1] |
Generators of the group modulo torsion |
j |
-4734976/1875 |
j-invariant |
L |
8.4030948548049 |
L(r)(E,1)/r! |
Ω |
0.7841125538674 |
Real period |
R |
0.14884298202545 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17340i1 52020bf1 |
Quadratic twists by: -3 17 |