Atkin-Lehner |
2- 3+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
45150cf |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1213440 |
Modular degree for the optimal curve |
Δ |
3.787456512E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 1 -2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-861263,83149781] |
[a1,a2,a3,a4,a6] |
Generators |
[-229:16498:1] |
Generators of the group modulo torsion |
j |
7234875649965625/3878355468288 |
j-invariant |
L |
8.3625768899607 |
L(r)(E,1)/r! |
Ω |
0.17939157917119 |
Real period |
R |
1.456760283948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45150bl1 |
Quadratic twists by: 5 |