Atkin-Lehner |
17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
59177d |
Isogeny class |
Conductor |
59177 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
167040 |
Modular degree for the optimal curve |
Δ |
-719220279112691 = -1 · 172 · 597 |
Discriminant |
Eigenvalues |
-1 1 1 3 -4 0 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-26180,2077043] |
[a1,a2,a3,a4,a6] |
Generators |
[2414:117147:1] |
Generators of the group modulo torsion |
j |
-47045881/17051 |
j-invariant |
L |
4.945391565103 |
L(r)(E,1)/r! |
Ω |
0.47789464636024 |
Real period |
R |
1.29353603427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997765 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1003b1 |
Quadratic twists by: -59 |