Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680cd |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
327680 |
Modular degree for the optimal curve |
Δ |
41427384843600 = 24 · 311 · 52 · 7 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-128442,-17715049] |
[a1,a2,a3,a4,a6] |
Generators |
[-105656:25675:512] |
Generators of the group modulo torsion |
j |
20090806898980864/3551730525 |
j-invariant |
L |
7.3476635031882 |
L(r)(E,1)/r! |
Ω |
0.25218973012675 |
Real period |
R |
7.2838647138859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963111 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42840x1 28560f1 |
Quadratic twists by: -4 -3 |