Atkin-Lehner |
3+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
61893b |
Isogeny class |
Conductor |
61893 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
357333025837203 = 33 · 132 · 238 |
Discriminant |
Eigenvalues |
-1 3+ 0 -4 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18350,301538] |
[a1,a2,a3,a4,a6] |
Generators |
[144:721:1] |
Generators of the group modulo torsion |
j |
170953875/89401 |
j-invariant |
L |
2.9574053720229 |
L(r)(E,1)/r! |
Ω |
0.47286676394644 |
Real period |
R |
1.563551087516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998254 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61893a2 2691b2 |
Quadratic twists by: -3 -23 |