Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840gk |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
4.3489126477452E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 6 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2985132,-1712930096] |
[a1,a2,a3,a4,a6] |
Generators |
[2864:115020:1] |
Generators of the group modulo torsion |
j |
15393836938735081/2275690697640 |
j-invariant |
L |
8.2263987757786 |
L(r)(E,1)/r! |
Ω |
0.11599315997379 |
Real period |
R |
5.9101176880424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000070921 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840cp4 30960bf4 41280db4 |
Quadratic twists by: -4 8 -3 |