Atkin-Lehner |
2- 3- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
105264cc |
Isogeny class |
Conductor |
105264 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1354752 |
Modular degree for the optimal curve |
Δ |
-88294053028036608 = -1 · 218 · 313 · 173 · 43 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 -2 3 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,106413,5085970] |
[a1,a2,a3,a4,a6] |
Generators |
[311:8262:1] |
Generators of the group modulo torsion |
j |
44629322792111/29569499712 |
j-invariant |
L |
3.6213486734891 |
L(r)(E,1)/r! |
Ω |
0.21320200769455 |
Real period |
R |
0.70773033599993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999682234 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13158h1 35088w1 |
Quadratic twists by: -4 -3 |