Atkin-Lehner |
3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
61893g |
Isogeny class |
Conductor |
61893 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
5.9863069344115E+27 |
Discriminant |
Eigenvalues |
1 3- 2 4 -4 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1504771281,22157300213334] |
[a1,a2,a3,a4,a6] |
j |
3491729964247447364833/55470800868972723 |
j-invariant |
L |
5.4560073780665 |
L(r)(E,1)/r! |
Ω |
0.042625057621447 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20631h4 2691e4 |
Quadratic twists by: -3 -23 |