Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
10944bd |
Isogeny class |
Conductor |
10944 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-226934784 = -1 · 214 · 36 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 5 4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-768,8224] |
[a1,a2,a3,a4,a6] |
Generators |
[17:9:1] |
Generators of the group modulo torsion |
j |
-4194304/19 |
j-invariant |
L |
4.177281943225 |
L(r)(E,1)/r! |
Ω |
1.7760484027074 |
Real period |
R |
1.1760045325502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10944bw1 684a1 1216h1 |
Quadratic twists by: -4 8 -3 |