Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240kx |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
154766868480 = 216 · 34 · 5 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2487905,-1511253345] |
[a1,a2,a3,a4,a6] |
Generators |
[7189:593460:1] |
Generators of the group modulo torsion |
j |
25986353070364640356/2361555 |
j-invariant |
L |
8.5261476827492 |
L(r)(E,1)/r! |
Ω |
0.12021013694454 |
Real period |
R |
5.9105856253191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999923114 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240bs4 28560k4 |
Quadratic twists by: -4 8 |