Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
74480bb |
Isogeny class |
Conductor |
74480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4967424 |
Modular degree for the optimal curve |
Δ |
-9.8139972224E+21 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 0 -4 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39154936,-94436942636] |
[a1,a2,a3,a4,a6] |
Generators |
[1577168705795030614356212031328764:71070043354679931658422198114896150:192227605230749372073916549669] |
Generators of the group modulo torsion |
j |
-40164371037846847/59375000000 |
j-invariant |
L |
6.1214511965073 |
L(r)(E,1)/r! |
Ω |
0.030174108206503 |
Real period |
R |
50.717747436095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9310c1 74480ct1 |
Quadratic twists by: -4 -7 |