Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352n |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-104315904 = -1 · 210 · 33 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 11- -5 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-276,1832] |
[a1,a2,a3,a4,a6] |
Generators |
[13:21:1] |
Generators of the group modulo torsion |
j |
-84098304/3773 |
j-invariant |
L |
7.4463653682342 |
L(r)(E,1)/r! |
Ω |
1.8675680171226 |
Real period |
R |
0.66453317005083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44352cx1 2772c1 44352j2 |
Quadratic twists by: -4 8 -3 |