Atkin-Lehner |
2+ 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
14784b |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-20865309696 = -1 · 210 · 37 · 7 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 11+ -1 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,175,-6951] |
[a1,a2,a3,a4,a6] |
Generators |
[880:26093:1] |
Generators of the group modulo torsion |
j |
575511296/20376279 |
j-invariant |
L |
3.9629538369266 |
L(r)(E,1)/r! |
Ω |
0.58343689153303 |
Real period |
R |
6.7924293003029 |
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 |
14784cp1 1848f1 44352bi1 103488da1 |
Quadratic twists by: -4 8 -3 -7 |