Atkin-Lehner |
2- 3- 7+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
109494bu |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-1442314532736 = -1 · 27 · 37 · 72 · 113 · 79 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 11- 3 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1832,65643] |
[a1,a2,a3,a4,a6] |
Generators |
[83:651:1] |
Generators of the group modulo torsion |
j |
-932288503609/1978483584 |
j-invariant |
L |
12.00012733237 |
L(r)(E,1)/r! |
Ω |
0.75705744289239 |
Real period |
R |
0.094351267321619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026205 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36498f1 |
Quadratic twists by: -3 |