Atkin-Lehner |
2- 3+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
44652c |
Isogeny class |
Conductor |
44652 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
714240 |
Modular degree for the optimal curve |
Δ |
-65167915447731456 = -1 · 28 · 34 · 617 |
Discriminant |
Eigenvalues |
2- 3+ 1 5 -5 1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-373340,88781544] |
[a1,a2,a3,a4,a6] |
j |
-436334416/4941 |
j-invariant |
L |
2.8007835092819 |
L(r)(E,1)/r! |
Ω |
0.35009793868655 |
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 |
732b1 |
Quadratic twists by: 61 |