Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42840ce |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-220361420160000 = -1 · 210 · 310 · 54 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12093,498094] |
[a1,a2,a3,a4,a6] |
Generators |
[83:1440:1] |
Generators of the group modulo torsion |
j |
261998247164/295194375 |
j-invariant |
L |
5.5144475492791 |
L(r)(E,1)/r! |
Ω |
0.37278146810972 |
Real period |
R |
1.8490885481904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680ch1 14280l1 |
Quadratic twists by: -4 -3 |