Atkin-Lehner |
2- 3+ 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
76650bu |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
162977062500 = 22 · 36 · 56 · 72 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 0 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1413,-6969] |
[a1,a2,a3,a4,a6] |
Generators |
[-90:741:8] |
Generators of the group modulo torsion |
j |
19968681097/10430532 |
j-invariant |
L |
8.1523306415575 |
L(r)(E,1)/r! |
Ω |
0.8249159984014 |
Real period |
R |
2.47065478713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3066f1 |
Quadratic twists by: 5 |