Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
14784bf |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
28850798592 = 214 · 33 · 72 · 113 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ 6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2347889,-1385510865] |
[a1,a2,a3,a4,a6] |
Generators |
[42379:8718528:1] |
Generators of the group modulo torsion |
j |
87364831012240243408/1760913 |
j-invariant |
L |
5.549404996763 |
L(r)(E,1)/r! |
Ω |
0.12196357585603 |
Real period |
R |
7.5834184616368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14784bv1 1848b1 44352co1 103488x1 |
Quadratic twists by: -4 8 -3 -7 |