Atkin-Lehner |
3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
1449b |
Isogeny class |
Conductor |
1449 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
784 |
Modular degree for the optimal curve |
Δ |
-511420203 = -1 · 33 · 77 · 23 |
Discriminant |
Eigenvalues |
-2 3+ -2 7- -1 0 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-381,3062] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:73:1] |
Generators of the group modulo torsion |
j |
-226534772736/18941489 |
j-invariant |
L |
1.3395152445583 |
L(r)(E,1)/r! |
Ω |
1.6172479002884 |
Real period |
R |
0.059162024763506 |
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 |
23184u1 92736u1 1449a1 36225a1 |
Quadratic twists by: -4 8 -3 5 |