Atkin-Lehner |
2+ 3- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
55650ba |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-3909212160000000000 = -1 · 220 · 3 · 510 · 74 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14501,-95130352] |
[a1,a2,a3,a4,a6] |
Generators |
[384321:45657938:27] |
Generators of the group modulo torsion |
j |
-21580151584321/250189578240000 |
j-invariant |
L |
6.1895085124416 |
L(r)(E,1)/r! |
Ω |
0.11285971010529 |
Real period |
R |
6.8553123460179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130y1 |
Quadratic twists by: 5 |