Atkin-Lehner |
2+ 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
113256x |
Isogeny class |
Conductor |
113256 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-3829522812141312 = -1 · 28 · 310 · 117 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,38841,-428582] |
[a1,a2,a3,a4,a6] |
j |
19600688/11583 |
j-invariant |
L |
4.139611758432 |
L(r)(E,1)/r! |
Ω |
0.25872576366518 |
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 |
37752x1 10296j1 |
Quadratic twists by: -3 -11 |