Atkin-Lehner |
2- 5+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86450bk |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
95 |
Product of Tamagawa factors cp |
deg |
191520 |
Modular degree for the optimal curve |
Δ |
54412299468800 = 219 · 52 · 75 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -1 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9700,98567] |
[a1,a2,a3,a4,a6] |
Generators |
[5:221:1] |
Generators of the group modulo torsion |
j |
4036983099163065/2176491978752 |
j-invariant |
L |
10.422374539142 |
L(r)(E,1)/r! |
Ω |
0.54971461332265 |
Real period |
R |
0.19957483941951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995217 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86450p1 |
Quadratic twists by: 5 |