Atkin-Lehner |
3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
61893f |
Isogeny class |
Conductor |
61893 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
759986189469 = 37 · 134 · 233 |
Discriminant |
Eigenvalues |
1 3- -2 2 0 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2583,-27540] |
[a1,a2,a3,a4,a6] |
Generators |
[558:2583:8] |
Generators of the group modulo torsion |
j |
214921799/85683 |
j-invariant |
L |
6.7231383799112 |
L(r)(E,1)/r! |
Ω |
0.69310929708516 |
Real period |
R |
4.8499842724645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999811 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20631e2 61893e2 |
Quadratic twists by: -3 -23 |