Atkin-Lehner |
2+ 3- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
71232bi |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
45158400 |
Modular degree for the optimal curve |
Δ |
-4.598457959421E+27 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -2 6 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,277537983,2734588074015] |
[a1,a2,a3,a4,a6] |
Generators |
[-39796962447:5922021703680:6539203] |
Generators of the group modulo torsion |
j |
9018848088673607981072303/17541725003894778494976 |
j-invariant |
L |
9.1051227947553 |
L(r)(E,1)/r! |
Ω |
0.0299942250487 |
Real period |
R |
7.2276792489381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71232cn1 2226g1 |
Quadratic twists by: -4 8 |