Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
92480f |
Isogeny class |
Conductor |
92480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-42018680115200000 = -1 · 215 · 55 · 177 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 0 -5 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,73599,-6156385] |
[a1,a2,a3,a4,a6] |
Generators |
[115:1960:1] |
Generators of the group modulo torsion |
j |
55742968/53125 |
j-invariant |
L |
6.6957794301842 |
L(r)(E,1)/r! |
Ω |
0.19751411454517 |
Real period |
R |
4.2375322309901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027628 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92480j1 46240ba1 5440k1 |
Quadratic twists by: -4 8 17 |