Atkin-Lehner |
2- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
110450bm |
Isogeny class |
Conductor |
110450 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
1351680 |
Modular degree for the optimal curve |
Δ |
850518016000000000 = 222 · 59 · 473 |
Discriminant |
Eigenvalues |
2- -1 5- -1 -3 -1 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-387138,81246031] |
[a1,a2,a3,a4,a6] |
Generators |
[-631:8963:1] [185:-4093:1] |
Generators of the group modulo torsion |
j |
31644451747/4194304 |
j-invariant |
L |
13.492757389921 |
L(r)(E,1)/r! |
Ω |
0.27103723299359 |
Real period |
R |
0.56570378470068 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001471 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110450n1 110450bl1 |
Quadratic twists by: 5 -47 |