Atkin-Lehner |
2+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
75200a |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-235000000 = -1 · 26 · 57 · 47 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 2 -3 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50,750] |
[a1,a2,a3,a4,a6] |
Generators |
[5:25:1] |
Generators of the group modulo torsion |
j |
-13824/235 |
j-invariant |
L |
3.1416139632558 |
L(r)(E,1)/r! |
Ω |
1.4864483652928 |
Real period |
R |
1.0567517971104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001865 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200q1 37600a1 15040o1 |
Quadratic twists by: -4 8 5 |