Atkin-Lehner |
2- 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
1860a |
Isogeny class |
Conductor |
1860 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-1153200 = -1 · 24 · 3 · 52 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,15,42] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:5:1] |
Generators of the group modulo torsion |
j |
21807104/72075 |
j-invariant |
L |
2.6806365518699 |
L(r)(E,1)/r! |
Ω |
1.9418563756467 |
Real period |
R |
0.46015015759977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7440ba1 29760u1 5580a1 9300i1 |
Quadratic twists by: -4 8 -3 5 |