Atkin-Lehner |
2+ 3- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
58824f |
Isogeny class |
Conductor |
58824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
77824 |
Modular degree for the optimal curve |
Δ |
-19006983113472 = -1 · 28 · 314 · 192 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 3 1 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6540,50564] |
[a1,a2,a3,a4,a6] |
Generators |
[10:342:1] |
Generators of the group modulo torsion |
j |
165763712000/101846403 |
j-invariant |
L |
7.171083121317 |
L(r)(E,1)/r! |
Ω |
0.42385763243326 |
Real period |
R |
1.0574132935126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117648b1 19608f1 |
Quadratic twists by: -4 -3 |