Atkin-Lehner |
2+ 3+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
71232p |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6656 |
Modular degree for the optimal curve |
Δ |
-213696 = -1 · 26 · 32 · 7 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 3 2 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15,-27] |
[a1,a2,a3,a4,a6] |
Generators |
[42:27:8] |
Generators of the group modulo torsion |
j |
-6229504/3339 |
j-invariant |
L |
6.6673738850512 |
L(r)(E,1)/r! |
Ω |
1.1768015901092 |
Real period |
R |
2.8328368775123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001648 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71232bd1 35616j1 |
Quadratic twists by: -4 8 |