Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
58800gq |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3548160 |
Modular degree for the optimal curve |
Δ |
-7.650490466304E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 5 1 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1900792,4084956912] |
[a1,a2,a3,a4,a6] |
Generators |
[1748:112896:1] |
Generators of the group modulo torsion |
j |
16468459/165888 |
j-invariant |
L |
5.2754856604232 |
L(r)(E,1)/r! |
Ω |
0.096869224542531 |
Real period |
R |
1.134580686277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998393 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7350bg1 58800jh1 58800kd1 |
Quadratic twists by: -4 5 -7 |