Atkin-Lehner |
2+ 3- 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
123114f |
Isogeny class |
Conductor |
123114 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
104544 |
Modular degree for the optimal curve |
Δ |
-80557922304 = -1 · 211 · 33 · 172 · 712 |
Discriminant |
Eigenvalues |
2+ 3- -1 0 -5 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-644,14978] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-110:1] |
Generators of the group modulo torsion |
j |
-101979693721/278747136 |
j-invariant |
L |
4.2594444221445 |
L(r)(E,1)/r! |
Ω |
0.9554682446338 |
Real period |
R |
0.7429942428266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999820286 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123114c1 |
Quadratic twists by: 17 |