Atkin-Lehner |
2+ 3- 7- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
87822o |
Isogeny class |
Conductor |
87822 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
49545216 |
Modular degree for the optimal curve |
Δ |
2.6505125129501E+27 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-499589181,3512597508805] |
[a1,a2,a3,a4,a6] |
Generators |
[3776395:498000832:125] |
Generators of the group modulo torsion |
j |
18916259305917296414598461137/3635819633676418465923072 |
j-invariant |
L |
6.3615265122286 |
L(r)(E,1)/r! |
Ω |
0.043222450262828 |
Real period |
R |
9.1988169208801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004394 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29274bg1 |
Quadratic twists by: -3 |