Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
71136bb |
Isogeny class |
Conductor |
71136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-9587994624 = -1 · 212 · 36 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3- 3 1 -1 13+ 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2136,38288] |
[a1,a2,a3,a4,a6] |
Generators |
[32:52:1] |
Generators of the group modulo torsion |
j |
-360944128/3211 |
j-invariant |
L |
8.5541643961653 |
L(r)(E,1)/r! |
Ω |
1.2999013468328 |
Real period |
R |
0.8225782303168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000529 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71136bf1 7904a1 |
Quadratic twists by: -4 -3 |