Atkin-Lehner |
2- 13- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
59072d |
Isogeny class |
Conductor |
59072 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-9983168 = -1 · 26 · 133 · 71 |
Discriminant |
Eigenvalues |
2- 3 -2 0 0 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16,-154] |
[a1,a2,a3,a4,a6] |
Generators |
[417:1547:27] |
Generators of the group modulo torsion |
j |
-7077888/155987 |
j-invariant |
L |
10.224630551979 |
L(r)(E,1)/r! |
Ω |
0.99066350199233 |
Real period |
R |
3.4403308260417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995731 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59072a1 14768a1 |
Quadratic twists by: -4 8 |