Atkin-Lehner |
2- 7+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
109648g |
Isogeny class |
Conductor |
109648 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-1977799045376 = -1 · 28 · 72 · 116 · 89 |
Discriminant |
Eigenvalues |
2- 1 1 7+ 11+ 2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,980,66952] |
[a1,a2,a3,a4,a6] |
Generators |
[2811:149072:1] |
Generators of the group modulo torsion |
j |
406180192304/7725777521 |
j-invariant |
L |
8.3736315359018 |
L(r)(E,1)/r! |
Ω |
0.61917184675234 |
Real period |
R |
3.3809804067867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27412c1 |
Quadratic twists by: -4 |