Atkin-Lehner |
2+ 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54600s |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
5911489518480000000 = 210 · 37 · 57 · 7 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-491408,-62583312] |
[a1,a2,a3,a4,a6] |
j |
820221748268836/369468094905 |
j-invariant |
L |
2.6333335038111 |
L(r)(E,1)/r! |
Ω |
0.18809525040961 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200m1 10920l1 |
Quadratic twists by: -4 5 |