Atkin-Lehner |
2+ 3+ 7+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
49266b |
Isogeny class |
Conductor |
49266 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-1182606288192 = -1 · 26 · 39 · 74 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 3 -5 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-158667,-24286843] |
[a1,a2,a3,a4,a6] |
j |
-22443665659171875/60082624 |
j-invariant |
L |
0.95683641524589 |
L(r)(E,1)/r! |
Ω |
0.11960455191312 |
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 |
49266bc1 |
Quadratic twists by: -3 |