Atkin-Lehner |
3- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
18759m |
Isogeny class |
Conductor |
18759 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
-2206073845583516883 = -1 · 3 · 139 · 375 |
Discriminant |
Eigenvalues |
2 3- -2 -2 -5 13- -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-79824,71959541] |
[a1,a2,a3,a4,a6] |
j |
-5304438784/208031871 |
j-invariant |
L |
2.1625861236122 |
L(r)(E,1)/r! |
Ω |
0.21625861236122 |
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 |
56277r2 18759l2 |
Quadratic twists by: -3 13 |