Atkin-Lehner |
3+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
23595d |
Isogeny class |
Conductor |
23595 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.1866164116248E+27 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-548630942,-4660458903129] |
[a1,a2,a3,a4,a6] |
Generators |
[-12285456012044252:-439291538081949749:863889429824] |
Generators of the group modulo torsion |
j |
10308809044982316013479361/669814029336181640625 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
70785n4 117975bz4 2145e3 |
Quadratic twists by: -3 5 -11 |