Atkin-Lehner |
2- 3+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
44520n |
Isogeny class |
Conductor |
44520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
242331264000 = 210 · 36 · 53 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-108136,13722940] |
[a1,a2,a3,a4,a6] |
Generators |
[189:28:1] |
Generators of the group modulo torsion |
j |
136564768870199716/236651625 |
j-invariant |
L |
3.4311491261882 |
L(r)(E,1)/r! |
Ω |
0.84529348874253 |
Real period |
R |
2.0295608400436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999909 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89040p1 |
Quadratic twists by: -4 |