Atkin-Lehner |
2- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
39872x |
Isogeny class |
Conductor |
39872 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-686211792896 = -1 · 216 · 76 · 89 |
Discriminant |
Eigenvalues |
2- 1 1 7+ 0 -4 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11425,-475553] |
[a1,a2,a3,a4,a6] |
Generators |
[198045:7867048:125] |
Generators of the group modulo torsion |
j |
-2516809936036/10470761 |
j-invariant |
L |
6.4754909189843 |
L(r)(E,1)/r! |
Ω |
0.23083104358078 |
Real period |
R |
7.013236628112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39872r1 9968a1 |
Quadratic twists by: -4 8 |