Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
15870x |
Isogeny class |
Conductor |
15870 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-2686473600 = -1 · 27 · 3 · 52 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 3 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11,2489] |
[a1,a2,a3,a4,a6] |
Generators |
[59:430:1] |
Generators of the group modulo torsion |
j |
-529/9600 |
j-invariant |
L |
6.8388112149408 |
L(r)(E,1)/r! |
Ω |
1.1493272277387 |
Real period |
R |
0.14167317585552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126960cq1 47610ba1 79350bl1 15870bd1 |
Quadratic twists by: -4 -3 5 -23 |