Atkin-Lehner |
2- 3- 7- 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
116298bm |
Isogeny class |
Conductor |
116298 |
Conductor |
∏ cp |
400 |
Product of Tamagawa factors cp |
deg |
870400 |
Modular degree for the optimal curve |
Δ |
-11858215613497344 = -1 · 220 · 36 · 75 · 13 · 71 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -4 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4358,5241493] |
[a1,a2,a3,a4,a6] |
Generators |
[-119:-1957:1] [73:-2341:1] |
Generators of the group modulo torsion |
j |
-12553488586521/16266413735936 |
j-invariant |
L |
16.608010269855 |
L(r)(E,1)/r! |
Ω |
0.32391348097922 |
Real period |
R |
0.12818245645909 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000604 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12922b1 |
Quadratic twists by: -3 |