Atkin-Lehner |
3- 7- 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
84987o |
Isogeny class |
Conductor |
84987 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
3299751836490753 = 315 · 74 · 19 · 712 |
Discriminant |
Eigenvalues |
-1 3- 2 7- -2 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-59684,-4869570] |
[a1,a2,a3,a4,a6] |
Generators |
[470:8175:1] |
Generators of the group modulo torsion |
j |
32252480929090297/4526408554857 |
j-invariant |
L |
4.7482950175385 |
L(r)(E,1)/r! |
Ω |
0.30829697226872 |
Real period |
R |
3.850423005464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28329a1 |
Quadratic twists by: -3 |