Atkin-Lehner |
2+ 7+ 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
18382a |
Isogeny class |
Conductor |
18382 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2176 |
Modular degree for the optimal curve |
Δ |
-1029392 = -1 · 24 · 72 · 13 · 101 |
Discriminant |
Eigenvalues |
2+ -1 0 7+ -2 13- -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-45,109] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:15:1] [3:2:1] |
Generators of the group modulo torsion |
j |
-10431681625/1029392 |
j-invariant |
L |
4.5273363151355 |
L(r)(E,1)/r! |
Ω |
2.703278764427 |
Real period |
R |
0.41868936850981 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128674d1 |
Quadratic twists by: -7 |