Atkin-Lehner |
37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
62197a |
Isogeny class |
Conductor |
62197 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1249920 |
Modular degree for the optimal curve |
Δ |
448185868185332609 = 372 · 419 |
Discriminant |
Eigenvalues |
1 0 -2 4 -4 -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2434403,-1461001200] |
[a1,a2,a3,a4,a6] |
Generators |
[88733500422272:7127797065481372:12829337821] |
Generators of the group modulo torsion |
j |
335890789988697/94352849 |
j-invariant |
L |
4.346863347535 |
L(r)(E,1)/r! |
Ω |
0.12086727995055 |
Real period |
R |
17.981968938312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000176 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1517a1 |
Quadratic twists by: 41 |