Atkin-Lehner |
2+ 5+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
81070g |
Isogeny class |
Conductor |
81070 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
357120 |
Modular degree for the optimal curve |
Δ |
-3499116424760 = -1 · 23 · 5 · 117 · 672 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 11- 0 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-205218,35697292] |
[a1,a2,a3,a4,a6] |
Generators |
[259:-190:1] |
Generators of the group modulo torsion |
j |
-539532064700929/1975160 |
j-invariant |
L |
2.7708048802015 |
L(r)(E,1)/r! |
Ω |
0.69348829673799 |
Real period |
R |
0.49943252295482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7370f1 |
Quadratic twists by: -11 |