Atkin-Lehner |
2+ 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
58464d |
Isogeny class |
Conductor |
58464 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
44800 |
Modular degree for the optimal curve |
Δ |
-6737859072 = -1 · 29 · 33 · 75 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 3 -7 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-195,4086] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:42:1] [-11:70:1] |
Generators of the group modulo torsion |
j |
-59319000/487403 |
j-invariant |
L |
10.248613454896 |
L(r)(E,1)/r! |
Ω |
1.1411822970632 |
Real period |
R |
0.44903489483161 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999867 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58464p1 116928q1 58464t1 |
Quadratic twists by: -4 8 -3 |