Atkin-Lehner |
2- 5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
80080by |
Isogeny class |
Conductor |
80080 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
9475168102400000 = 214 · 55 · 76 · 112 · 13 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 11- 13+ 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1642200,809443348] |
[a1,a2,a3,a4,a6] |
Generators |
[756:770:1] |
Generators of the group modulo torsion |
j |
119575490767273459801/2313273462500 |
j-invariant |
L |
5.1746939039833 |
L(r)(E,1)/r! |
Ω |
0.37698641669928 |
Real period |
R |
0.22877455144432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002173 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010g1 |
Quadratic twists by: -4 |