Atkin-Lehner |
2+ 3- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
39672f |
Isogeny class |
Conductor |
39672 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
21939254220284928 = 210 · 313 · 19 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 0 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-104475,-10869914] |
[a1,a2,a3,a4,a6] |
Generators |
[-974:1701:8] |
Generators of the group modulo torsion |
j |
168940341062500/29389647393 |
j-invariant |
L |
4.1612130105472 |
L(r)(E,1)/r! |
Ω |
0.26870897657088 |
Real period |
R |
3.8714867880941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79344f1 13224i1 |
Quadratic twists by: -4 -3 |