Atkin-Lehner |
2- 3- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
74550dm |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-901756800 = -1 · 27 · 34 · 52 · 72 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -7 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-88,1472] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:44:1] |
Generators of the group modulo torsion |
j |
-3016755625/36070272 |
j-invariant |
L |
11.74437891481 |
L(r)(E,1)/r! |
Ω |
1.338258162993 |
Real period |
R |
0.15671195424288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002197 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74550x1 |
Quadratic twists by: 5 |