Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240jk |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1344059924580925440 = -1 · 218 · 3 · 5 · 72 · 178 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,139519,52093695] |
[a1,a2,a3,a4,a6] |
Generators |
[2346:115311:1] |
Generators of the group modulo torsion |
j |
1145725929069119/5127181719135 |
j-invariant |
L |
8.2233886418117 |
L(r)(E,1)/r! |
Ω |
0.19404873622241 |
Real period |
R |
2.6486221904521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025787 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240q5 28560dc5 |
Quadratic twists by: -4 8 |