Atkin-Lehner |
3+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
23595d |
Isogeny class |
Conductor |
23595 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.2891764675835E+29 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25451640942,1562760107465121] |
[a1,a2,a3,a4,a6] |
Generators |
[3299902882636488:-8160718491063634989:234770924809] |
Generators of the group modulo torsion |
j |
1029235991360334641297227719361/72770650718971467351375 |
j-invariant |
L |
5.1389732645001 |
L(r)(E,1)/r! |
Ω |
0.031321810627883 |
Real period |
R |
13.672510096222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70785n8 117975bz8 2145e7 |
Quadratic twists by: -3 5 -11 |