Atkin-Lehner |
2+ 3- 5+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83850x |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
851601562500 = 22 · 3 · 510 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -2 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-41776,3282698] |
[a1,a2,a3,a4,a6] |
Generators |
[207:1771:1] |
Generators of the group modulo torsion |
j |
516023292569329/54502500 |
j-invariant |
L |
4.9208035859253 |
L(r)(E,1)/r! |
Ω |
0.853744166779 |
Real period |
R |
1.4409479387503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999930178 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770v1 |
Quadratic twists by: 5 |