Atkin-Lehner |
2- 3- 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
63468c |
Isogeny class |
Conductor |
63468 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
127680 |
Modular degree for the optimal curve |
Δ |
-58107909323952 = -1 · 24 · 36 · 415 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 1 -2 4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6840,-426519] |
[a1,a2,a3,a4,a6] |
j |
-3034202112000/4981816643 |
j-invariant |
L |
0.74522529891767 |
L(r)(E,1)/r! |
Ω |
0.24840843264914 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7052b1 |
Quadratic twists by: -3 |