Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352dr |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-328690409894009856 = -1 · 210 · 315 · 75 · 113 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 11+ 7 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-620724,190243384] |
[a1,a2,a3,a4,a6] |
Generators |
[1877:75087:1] |
Generators of the group modulo torsion |
j |
-35431687725461248/440311012911 |
j-invariant |
L |
4.8381120783451 |
L(r)(E,1)/r! |
Ω |
0.30579965218599 |
Real period |
R |
3.9552956026623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44352cs1 11088bn1 14784ch1 |
Quadratic twists by: -4 8 -3 |