Atkin-Lehner |
2- 3- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
49104bj |
Isogeny class |
Conductor |
49104 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1167360 |
Modular degree for the optimal curve |
Δ |
-984863985010470576 = -1 · 24 · 38 · 11 · 318 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11+ -2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8311656,-9223277465] |
[a1,a2,a3,a4,a6] |
j |
-5444260314792559771648/84436212706659 |
j-invariant |
L |
1.4226472972331 |
L(r)(E,1)/r! |
Ω |
0.044457728034029 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12276c1 16368y1 |
Quadratic twists by: -4 -3 |