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 |
Δ |
-3216648348 = -1 · 22 · 38 · 23 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ -4 2 2 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,368,460] |
[a1,a2,a3,a4,a6] |
Generators |
[17:101:1] |
Generators of the group modulo torsion |
j |
5488098288119/3216648348 |
j-invariant |
L |
2.2130425143365 |
L(r)(E,1)/r! |
Ω |
0.8587690141836 |
Real period |
R |
1.2884969519076 |
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 |
80592bg2 30222n2 |
Quadratic twists by: -4 -3 |