Atkin-Lehner |
7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
4361c |
Isogeny class |
Conductor |
4361 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-10470761 = -1 · 76 · 89 |
Discriminant |
Eigenvalues |
-1 1 1 7- -2 -2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-50,-211] |
[a1,a2,a3,a4,a6] |
Generators |
[11:19:1] |
Generators of the group modulo torsion |
j |
-117649/89 |
j-invariant |
L |
2.7816032199997 |
L(r)(E,1)/r! |
Ω |
0.86907338364683 |
Real period |
R |
0.80016350527486 |
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 |
69776z1 39249f1 109025k1 89a1 |
Quadratic twists by: -4 -3 5 -7 |