Atkin-Lehner |
2- 3+ 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
74382y |
Isogeny class |
Conductor |
74382 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
326592 |
Modular degree for the optimal curve |
Δ |
11109800249856 = 29 · 36 · 76 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11+ 7 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6224,-102607] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:229:1] |
Generators of the group modulo torsion |
j |
226646274673/94431744 |
j-invariant |
L |
11.543687874975 |
L(r)(E,1)/r! |
Ω |
0.5577241225932 |
Real period |
R |
1.1498803210454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986269 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1518p1 |
Quadratic twists by: -7 |