Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
14280ca |
Isogeny class |
Conductor |
14280 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
362954210085653760 = 28 · 310 · 5 · 710 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1361820,-611451792] |
[a1,a2,a3,a4,a6] |
Generators |
[-678:810:1] |
Generators of the group modulo torsion |
j |
1091046322587485234896/1417789883147085 |
j-invariant |
L |
5.8907834322513 |
L(r)(E,1)/r! |
Ω |
0.13976662889904 |
Real period |
R |
2.1073640677514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28560bd2 114240r2 42840n2 71400k2 |
Quadratic twists by: -4 8 -3 5 |