Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
122400bf |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-28441935000000 = -1 · 26 · 39 · 57 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -4 -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7575,-38000] |
[a1,a2,a3,a4,a6] |
Generators |
[11:216:1] |
Generators of the group modulo torsion |
j |
65939264/39015 |
j-invariant |
L |
6.9646105042686 |
L(r)(E,1)/r! |
Ω |
0.38907512378794 |
Real period |
R |
2.2375533035211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998217733 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122400bk1 40800bp1 24480bg1 |
Quadratic twists by: -4 -3 5 |