Atkin-Lehner |
3+ 7- 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
128037d |
Isogeny class |
Conductor |
128037 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1050624 |
Modular degree for the optimal curve |
Δ |
-15450600226109139 = -1 · 38 · 79 · 13 · 672 |
Discriminant |
Eigenvalues |
0 3+ 3 7- 2 13- -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,55991,3105612] |
[a1,a2,a3,a4,a6] |
Generators |
[70:-2714:1] |
Generators of the group modulo torsion |
j |
164999408648192/131327935011 |
j-invariant |
L |
5.7136120122936 |
L(r)(E,1)/r! |
Ω |
0.25309155000658 |
Real period |
R |
1.4109548362554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000119607 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18291d1 |
Quadratic twists by: -7 |