Atkin-Lehner |
2+ 3+ 23+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
10074g |
Isogeny class |
Conductor |
10074 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
50047632 = 24 · 34 · 232 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ -4 2 2 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-92,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:20:1] |
Generators of the group modulo torsion |
j |
87587538121/50047632 |
j-invariant |
L |
2.2130425143365 |
L(r)(E,1)/r! |
Ω |
1.7175380283672 |
Real period |
R |
0.6442484759538 |
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 |
80592bg1 30222n1 |
Quadratic twists by: -4 -3 |