Atkin-Lehner |
2- 7- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
80066i |
Isogeny class |
Conductor |
80066 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
190848 |
Modular degree for the optimal curve |
Δ |
-86122832768 = -1 · 27 · 77 · 19 · 43 |
Discriminant |
Eigenvalues |
2- -3 -4 7- -2 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,603,12765] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:-96:1] |
Generators of the group modulo torsion |
j |
206425071/732032 |
j-invariant |
L |
4.0083183055618 |
L(r)(E,1)/r! |
Ω |
0.76453049947498 |
Real period |
R |
0.18724462312327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970802 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11438a1 |
Quadratic twists by: -7 |