Atkin-Lehner |
2- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57200cb |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5472 |
Modular degree for the optimal curve |
Δ |
-1430000 = -1 · 24 · 54 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 0 5- 1 11+ 13+ 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25,75] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:3:1] |
Generators of the group modulo torsion |
j |
-172800/143 |
j-invariant |
L |
5.5003079546174 |
L(r)(E,1)/r! |
Ω |
2.4700351298386 |
Real period |
R |
2.2268136546278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14300k1 57200bh1 |
Quadratic twists by: -4 5 |