Atkin-Lehner |
3- 5+ 23- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
63135i |
Isogeny class |
Conductor |
63135 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1437696 |
Modular degree for the optimal curve |
Δ |
-452984205573675 = -1 · 38 · 52 · 233 · 613 |
Discriminant |
Eigenvalues |
-2 3- 5+ 3 1 1 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6987063,7108698694] |
[a1,a2,a3,a4,a6] |
Generators |
[1549:-1553:1] |
Generators of the group modulo torsion |
j |
-51746402382906475565056/621377511075 |
j-invariant |
L |
3.2649299391147 |
L(r)(E,1)/r! |
Ω |
0.37162524862877 |
Real period |
R |
0.36606432946159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000943 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21045b1 |
Quadratic twists by: -3 |