Atkin-Lehner |
2- 7+ 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
103376j |
Isogeny class |
Conductor |
103376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-126318869168128 = -1 · 214 · 76 · 13 · 712 |
Discriminant |
Eigenvalues |
2- 2 -4 7+ -4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3680,-546304] |
[a1,a2,a3,a4,a6] |
Generators |
[79362:419678:729] |
Generators of the group modulo torsion |
j |
-1345938541921/30839567668 |
j-invariant |
L |
4.4775124180118 |
L(r)(E,1)/r! |
Ω |
0.25375710792499 |
Real period |
R |
8.8224373998159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042789 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12922d2 |
Quadratic twists by: -4 |