Atkin-Lehner |
2+ 3+ 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
12390f |
Isogeny class |
Conductor |
12390 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-20240804556000000 = -1 · 28 · 36 · 56 · 76 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,56438,4520404] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:1966:1] |
Generators of the group modulo torsion |
j |
19880464812965126999/20240804556000000 |
j-invariant |
L |
2.9968984802907 |
L(r)(E,1)/r! |
Ω |
0.25363921200521 |
Real period |
R |
0.32821100235229 |
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 |
99120cw2 37170bd2 61950cc2 86730bg2 |
Quadratic twists by: -4 -3 5 -7 |