Atkin-Lehner |
3+ 7- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
127743g |
Isogeny class |
Conductor |
127743 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
46370709 = 32 · 72 · 113 · 79 |
Discriminant |
Eigenvalues |
0 3+ -3 7- 11+ 4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-352767,80763185] |
[a1,a2,a3,a4,a6] |
Generators |
[2746:-3:8] |
Generators of the group modulo torsion |
j |
99081533255516127232/946341 |
j-invariant |
L |
3.6221889348916 |
L(r)(E,1)/r! |
Ω |
1.0064903059442 |
Real period |
R |
1.7994157409107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998225152 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127743t2 |
Quadratic twists by: -7 |