Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
14784o |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-32332608 = -1 · 26 · 38 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11+ -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,76,78] |
[a1,a2,a3,a4,a6] |
Generators |
[3:18:1] [42:195:8] |
Generators of the group modulo torsion |
j |
748613312/505197 |
j-invariant |
L |
5.5104752377619 |
L(r)(E,1)/r! |
Ω |
1.3078378951628 |
Real period |
R |
8.4268474833805 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14784ba1 7392g4 44352cn1 103488dc1 |
Quadratic twists by: -4 8 -3 -7 |