Atkin-Lehner |
2+ 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770bb |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
504477113655440640 = 28 · 3 · 5 · 115 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11- 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-210409,-14586388] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:2962:1] |
Generators of the group modulo torsion |
j |
1262893894249/618435840 |
j-invariant |
L |
4.3685938084897 |
L(r)(E,1)/r! |
Ω |
0.23426442556717 |
Real period |
R |
1.8648131477173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000203 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55770da1 |
Quadratic twists by: 13 |