Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86640dd |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
14008320 |
Modular degree for the optimal curve |
Δ |
1.6241403618543E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -6 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13651696,-988203820] |
[a1,a2,a3,a4,a6] |
Generators |
[-6308743928265546942:-119964224023952537600:1812679552648089] |
Generators of the group modulo torsion |
j |
212883113611/122880000 |
j-invariant |
L |
8.9781515921318 |
L(r)(E,1)/r! |
Ω |
0.085711416171601 |
Real period |
R |
26.187152182451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954283 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10830s1 86640bu1 |
Quadratic twists by: -4 -19 |