Atkin-Lehner |
2- 3+ 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
55770br |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
-886909425960729600 = -1 · 210 · 33 · 52 · 112 · 139 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-226886,-61603261] |
[a1,a2,a3,a4,a6] |
Generators |
[1369:46175:1] |
Generators of the group modulo torsion |
j |
-121802655493/83635200 |
j-invariant |
L |
8.4068195789849 |
L(r)(E,1)/r! |
Ω |
0.10613995189416 |
Real period |
R |
3.9602522089274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000118 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55770s1 |
Quadratic twists by: 13 |