Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840ev |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1669194310043566080 = -1 · 222 · 316 · 5 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 2 6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,120372,60045712] |
[a1,a2,a3,a4,a6] |
Generators |
[-276:2408:1] |
Generators of the group modulo torsion |
j |
1009328859791/8734528080 |
j-invariant |
L |
8.9179189369702 |
L(r)(E,1)/r! |
Ω |
0.19473547371899 |
Real period |
R |
5.7243801011971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999674106 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840ch2 30960cb2 41280di2 |
Quadratic twists by: -4 8 -3 |