Atkin-Lehner |
2+ 3- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
846a |
Isogeny class |
Conductor |
846 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
-78941952 = -1 · 28 · 38 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 4 -4 0 -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-135,-707] |
[a1,a2,a3,a4,a6] |
j |
-374805361/108288 |
j-invariant |
L |
1.379515276798 |
L(r)(E,1)/r! |
Ω |
0.68975763839902 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6768u1 27072u1 282b1 21150cg1 |
Quadratic twists by: -4 8 -3 5 |