Atkin-Lehner |
2- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
106400cc |
Isogeny class |
Conductor |
106400 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-5546461760000000 = -1 · 212 · 57 · 7 · 195 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 0 0 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47633,5387137] |
[a1,a2,a3,a4,a6] |
Generators |
[-259:532:1] [197:1900:1] |
Generators of the group modulo torsion |
j |
-186756901696/86663465 |
j-invariant |
L |
9.9342614845184 |
L(r)(E,1)/r! |
Ω |
0.39990750023259 |
Real period |
R |
0.62103495677067 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997484 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106400bk1 21280i1 |
Quadratic twists by: -4 5 |