Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
14784bw |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-236544 = -1 · 210 · 3 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 11- 1 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-49,-119] |
[a1,a2,a3,a4,a6] |
Generators |
[1080:661:125] |
Generators of the group modulo torsion |
j |
-12967168/231 |
j-invariant |
L |
5.1597447323383 |
L(r)(E,1)/r! |
Ω |
0.89975733181268 |
Real period |
R |
5.7345959292639 |
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 |
14784bg1 3696j1 44352do1 103488iw1 |
Quadratic twists by: -4 8 -3 -7 |