Atkin-Lehner |
2- 3- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
59094by |
Isogeny class |
Conductor |
59094 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
2897664 |
Modular degree for the optimal curve |
Δ |
8266936386116911104 = 222 · 36 · 79 · 67 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 0 1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-27956837,-56888636003] |
[a1,a2,a3,a4,a6] |
Generators |
[-3049:1768:1] |
Generators of the group modulo torsion |
j |
82144390611546927/281018368 |
j-invariant |
L |
11.091258581011 |
L(r)(E,1)/r! |
Ω |
0.065656486197257 |
Real period |
R |
3.8392864628616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000125 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6566g1 59094bz1 |
Quadratic twists by: -3 -7 |