Atkin-Lehner |
2- 3- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
44730bp |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
1248 |
Product of Tamagawa factors cp |
deg |
2396160 |
Modular degree for the optimal curve |
Δ |
-7.4476891416218E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1751558,4247333781] |
[a1,a2,a3,a4,a6] |
Generators |
[-1015:71067:1] |
Generators of the group modulo torsion |
j |
-815210040317744637721/10216308836243865600 |
j-invariant |
L |
8.8646972016225 |
L(r)(E,1)/r! |
Ω |
0.11212507568694 |
Real period |
R |
0.2533999719224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999911 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14910g1 |
Quadratic twists by: -3 |