Atkin-Lehner |
2+ 3- 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
83850l |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
1255737600000000 = 214 · 33 · 58 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-107526,-13472552] |
[a1,a2,a3,a4,a6] |
Generators |
[-178:276:1] |
Generators of the group modulo torsion |
j |
8799101971936849/80367206400 |
j-invariant |
L |
5.291486827577 |
L(r)(E,1)/r! |
Ω |
0.26379165558821 |
Real period |
R |
1.6716117688503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999991511 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770y1 |
Quadratic twists by: 5 |