Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470do |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
1257984 |
Modular degree for the optimal curve |
Δ |
46569978000000 = 27 · 39 · 56 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -1 13+ -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1841807,962547031] |
[a1,a2,a3,a4,a6] |
Generators |
[781:-256:1] |
Generators of the group modulo torsion |
j |
207719778895841043/14000000 |
j-invariant |
L |
10.522270889494 |
L(r)(E,1)/r! |
Ω |
0.48306208930711 |
Real period |
R |
0.25931475890184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106470b1 106470f1 |
Quadratic twists by: -3 13 |