Atkin-Lehner |
3- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
112659n |
Isogeny class |
Conductor |
112659 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-21873533463 = -1 · 36 · 172 · 473 |
Discriminant |
Eigenvalues |
-1 3- -4 -4 -2 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7190,234171] |
[a1,a2,a3,a4,a6] |
Generators |
[55:49:1] [-23:634:1] |
Generators of the group modulo torsion |
j |
-395931982607/210681 |
j-invariant |
L |
5.1097320884074 |
L(r)(E,1)/r! |
Ω |
1.1920516060542 |
Real period |
R |
0.71441706936806 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999976732 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112659m1 |
Quadratic twists by: -47 |