Atkin-Lehner |
2- 3+ 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
12390q |
Isogeny class |
Conductor |
12390 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-145156229327390400 = -1 · 26 · 322 · 52 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-109031,22933469] |
[a1,a2,a3,a4,a6] |
j |
-143342160843040509169/145156229327390400 |
j-invariant |
L |
3.5625397311159 |
L(r)(E,1)/r! |
Ω |
0.29687831092633 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99120cl2 37170n2 61950ba2 86730ct2 |
Quadratic twists by: -4 -3 5 -7 |