Atkin-Lehner |
2- 3- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
105264bi |
Isogeny class |
Conductor |
105264 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-118277998848 = -1 · 28 · 37 · 173 · 43 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 0 5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15807,-765110] |
[a1,a2,a3,a4,a6] |
Generators |
[146:198:1] |
Generators of the group modulo torsion |
j |
-2340478081744/633777 |
j-invariant |
L |
3.4180704563192 |
L(r)(E,1)/r! |
Ω |
0.21288748960931 |
Real period |
R |
4.0139400055299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033471 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26316f1 35088z1 |
Quadratic twists by: -4 -3 |