Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240kz |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
22372761600 = 214 · 33 · 52 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -6 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4145,-103857] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:15:1] |
Generators of the group modulo torsion |
j |
480819584464/1365525 |
j-invariant |
L |
7.7752636455318 |
L(r)(E,1)/r! |
Ω |
0.59509160961325 |
Real period |
R |
2.1776097256137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999809424 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240bv2 28560n2 |
Quadratic twists by: -4 8 |