Atkin-Lehner |
2+ 3+ 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44880c |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1411200 |
Modular degree for the optimal curve |
Δ |
-1.6444175596496E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 11+ -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,768120,559665360] |
[a1,a2,a3,a4,a6] |
j |
24472617037807480558/80293826154767445 |
j-invariant |
L |
2.3112405508342 |
L(r)(E,1)/r! |
Ω |
0.12840225283865 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22440l1 |
Quadratic twists by: -4 |