Atkin-Lehner |
2- 3- 7+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
32214z |
Isogeny class |
Conductor |
32214 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
-164282508936 = -1 · 23 · 33 · 75 · 13 · 592 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -5 13- 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1285,26249] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:179:1] |
Generators of the group modulo torsion |
j |
-234668187084241/164282508936 |
j-invariant |
L |
10.414953698245 |
L(r)(E,1)/r! |
Ω |
0.94066874648358 |
Real period |
R |
0.61510339421221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96642q1 |
Quadratic twists by: -3 |