Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
58800hx |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
1741824 |
Modular degree for the optimal curve |
Δ |
-6.7240638864E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -3 -5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-637408,-440684812] |
[a1,a2,a3,a4,a6] |
Generators |
[1388:36750:1] |
Generators of the group modulo torsion |
j |
-77626969/182250 |
j-invariant |
L |
6.3183047774238 |
L(r)(E,1)/r! |
Ω |
0.07889010985982 |
Real period |
R |
0.55618019274485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000545 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7350bq1 11760bl1 58800fw1 |
Quadratic twists by: -4 5 -7 |