Atkin-Lehner |
2- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
44528o |
Isogeny class |
Conductor |
44528 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
168000 |
Modular degree for the optimal curve |
Δ |
-170900703936512 = -1 · 222 · 116 · 23 |
Discriminant |
Eigenvalues |
2- 0 4 -4 11- 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19723,-1237830] |
[a1,a2,a3,a4,a6] |
Generators |
[161169971095:-4376097441024:210644875] |
Generators of the group modulo torsion |
j |
-116930169/23552 |
j-invariant |
L |
6.5366441546638 |
L(r)(E,1)/r! |
Ω |
0.19927008724226 |
Real period |
R |
16.401468592493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5566i1 368b1 |
Quadratic twists by: -4 -11 |