Atkin-Lehner |
2+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
60016d |
Isogeny class |
Conductor |
60016 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
44800 |
Modular degree for the optimal curve |
Δ |
-56236432384 = -1 · 210 · 116 · 31 |
Discriminant |
Eigenvalues |
2+ 2 2 0 11- -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,928,-3760] |
[a1,a2,a3,a4,a6] |
Generators |
[30840:247996:3375] |
Generators of the group modulo torsion |
j |
48668/31 |
j-invariant |
L |
10.127483028955 |
L(r)(E,1)/r! |
Ω |
0.64026491623985 |
Real period |
R |
7.9088224046166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000059 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30008a1 496c1 |
Quadratic twists by: -4 -11 |