Atkin-Lehner |
2+ 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
59472q |
Isogeny class |
Conductor |
59472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
240414064695504 = 24 · 311 · 7 · 594 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15546,9875] |
[a1,a2,a3,a4,a6] |
Generators |
[7383909:-3508120:59319] |
Generators of the group modulo torsion |
j |
35623139473408/20611631061 |
j-invariant |
L |
5.879112071645 |
L(r)(E,1)/r! |
Ω |
0.47046841750744 |
Real period |
R |
12.496294869097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997867 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29736r1 19824c1 |
Quadratic twists by: -4 -3 |