Atkin-Lehner |
2+ 3- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
14454c |
Isogeny class |
Conductor |
14454 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
8545563721728 = 214 · 310 · 112 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11+ -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-133767,-18796995] |
[a1,a2,a3,a4,a6] |
Generators |
[5934:453225:1] |
Generators of the group modulo torsion |
j |
363115653908640625/11722309632 |
j-invariant |
L |
2.8970064962081 |
L(r)(E,1)/r! |
Ω |
0.24963932344135 |
Real period |
R |
2.9011920640868 |
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 |
115632bd1 4818d1 |
Quadratic twists by: -4 -3 |