Atkin-Lehner |
2+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
101728b |
Isogeny class |
Conductor |
101728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-5343095363448832 = -1 · 212 · 11 · 179 |
Discriminant |
Eigenvalues |
2+ 2 2 5 11+ -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-124077,17227397] |
[a1,a2,a3,a4,a6] |
Generators |
[58709:338724:343] |
Generators of the group modulo torsion |
j |
-2136719872/54043 |
j-invariant |
L |
13.888142813448 |
L(r)(E,1)/r! |
Ω |
0.42864527840676 |
Real period |
R |
8.1000208670937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010617 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101728f1 5984c1 |
Quadratic twists by: -4 17 |