Atkin-Lehner |
2- 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26520ba |
Isogeny class |
Conductor |
26520 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
3945366285419520 = 210 · 320 · 5 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-43256,-1704960] |
[a1,a2,a3,a4,a6] |
Generators |
[-149:1206:1] [-104:1296:1] |
Generators of the group modulo torsion |
j |
8741236393854436/3852896763105 |
j-invariant |
L |
8.1246680636516 |
L(r)(E,1)/r! |
Ω |
0.34477069202049 |
Real period |
R |
2.3565425518159 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53040f3 79560be3 |
Quadratic twists by: -4 -3 |