Atkin-Lehner |
2+ 3- 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
45150bq |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
648 |
Product of Tamagawa factors cp |
deg |
86313600 |
Modular degree for the optimal curve |
Δ |
-1.838398534758E+30 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -3 -1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3036776049,-10326280400702] |
[a1,a2,a3,a4,a6] |
Generators |
[950327:927499236:1] |
Generators of the group modulo torsion |
j |
7928699789003062747206470135/4706300248980447245893632 |
j-invariant |
L |
4.7432841016281 |
L(r)(E,1)/r! |
Ω |
0.015437381145045 |
Real period |
R |
4.2674949356347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
45150bw1 |
Quadratic twists by: 5 |