Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24336bl |
Isogeny class |
Conductor |
24336 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.8087604445655E+21 |
Discriminant |
Eigenvalues |
2- 3- -1 1 2 13+ 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5175963,-4972949046] |
[a1,a2,a3,a4,a6] |
Generators |
[1184854332935:-58503611013562:294079625] |
Generators of the group modulo torsion |
j |
-1064019559329/125497034 |
j-invariant |
L |
5.5051235381582 |
L(r)(E,1)/r! |
Ω |
0.04971701750011 |
Real period |
R |
13.841144880991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3042k2 97344es2 2704j2 1872n2 |
Quadratic twists by: -4 8 -3 13 |