Atkin-Lehner |
3- 5+ 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
54315c |
Isogeny class |
Conductor |
54315 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
958464 |
Modular degree for the optimal curve |
Δ |
-1985801348672908875 = -1 · 312 · 53 · 174 · 713 |
Discriminant |
Eigenvalues |
0 3- 5+ 5 -6 -1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,194082,-59276502] |
[a1,a2,a3,a4,a6] |
Generators |
[1484:59134:1] |
Generators of the group modulo torsion |
j |
1109052130784804864/2724007336999875 |
j-invariant |
L |
4.605350206165 |
L(r)(E,1)/r! |
Ω |
0.13547805199986 |
Real period |
R |
4.2491663208543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999627 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18105j1 |
Quadratic twists by: -3 |