Atkin-Lehner |
2- 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
42600bf |
Isogeny class |
Conductor |
42600 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-207036000000 = -1 · 28 · 36 · 56 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-308,21888] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:114:1] [-17:150:1] |
Generators of the group modulo torsion |
j |
-810448/51759 |
j-invariant |
L |
10.110195653228 |
L(r)(E,1)/r! |
Ω |
0.82733456315385 |
Real period |
R |
0.50917509189025 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85200a1 127800g1 1704b1 |
Quadratic twists by: -4 -3 5 |