Atkin-Lehner |
2- 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
42300bc |
Isogeny class |
Conductor |
42300 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
272640 |
Modular degree for the optimal curve |
Δ |
50323781250000 = 24 · 36 · 59 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-828000,-289996875] |
[a1,a2,a3,a4,a6] |
Generators |
[51517444524:321323233239:48228544] |
Generators of the group modulo torsion |
j |
2755733225472/2209 |
j-invariant |
L |
5.110252159026 |
L(r)(E,1)/r! |
Ω |
0.1582675907744 |
Real period |
R |
16.144341788549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4700g1 42300x1 |
Quadratic twists by: -3 5 |