Atkin-Lehner |
3- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
2379a |
Isogeny class |
Conductor |
2379 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-1940623385259 = -1 · 3 · 139 · 61 |
Discriminant |
Eigenvalues |
0 3- 3 -1 -6 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-12329,-535291] |
[a1,a2,a3,a4,a6] |
j |
-207272886199386112/1940623385259 |
j-invariant |
L |
2.0376736723983 |
L(r)(E,1)/r! |
Ω |
0.22640818582203 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38064y3 7137f3 59475c3 116571c3 |
Quadratic twists by: -4 -3 5 -7 |