Atkin-Lehner |
3- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
74727f |
Isogeny class |
Conductor |
74727 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
875520 |
Modular degree for the optimal curve |
Δ |
-1119974458132722051 = -1 · 38 · 199 · 232 |
Discriminant |
Eigenvalues |
0 3- -3 -3 -3 -2 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,164616,43950757] |
[a1,a2,a3,a4,a6] |
Generators |
[-173:3208:1] [722:61727:8] |
Generators of the group modulo torsion |
j |
2097152/4761 |
j-invariant |
L |
5.7467517598189 |
L(r)(E,1)/r! |
Ω |
0.1912954253189 |
Real period |
R |
3.7551549848826 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000082 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24909b1 74727e1 |
Quadratic twists by: -3 -19 |