Atkin-Lehner |
2- 3- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
105264bp |
Isogeny class |
Conductor |
105264 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
-1781127512064 = -1 · 216 · 37 · 172 · 43 |
Discriminant |
Eigenvalues |
2- 3- -1 1 3 -5 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6483,-210926] |
[a1,a2,a3,a4,a6] |
j |
-10091699281/596496 |
j-invariant |
L |
2.1209473427884 |
L(r)(E,1)/r! |
Ω |
0.26511843965189 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13158j1 35088q1 |
Quadratic twists by: -4 -3 |