Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13650bu |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-192802227728906250 = -1 · 2 · 318 · 58 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-355338,84073281] |
[a1,a2,a3,a4,a6] |
j |
-317562142497484249/12339342574650 |
j-invariant |
L |
1.2648615775968 |
L(r)(E,1)/r! |
Ω |
0.31621539439921 |
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 |
109200gd2 40950z2 2730p2 95550kg2 |
Quadratic twists by: -4 -3 5 -7 |