Atkin-Lehner |
2+ 3+ 5- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
16530g |
Isogeny class |
Conductor |
16530 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
235008 |
Modular degree for the optimal curve |
Δ |
113097572352000000 = 224 · 33 · 56 · 19 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 4 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-127397,-6725619] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:1854:1] |
Generators of the group modulo torsion |
j |
228668657549037076441/113097572352000000 |
j-invariant |
L |
2.8319005012287 |
L(r)(E,1)/r! |
Ω |
0.26585520089388 |
Real period |
R |
1.7753401674464 |
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 |
49590bk1 82650ci1 |
Quadratic twists by: -3 5 |