Atkin-Lehner |
2- 3+ 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
53808k |
Isogeny class |
Conductor |
53808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
213048631492608 = 230 · 3 · 19 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 0 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-63408,6126528] |
[a1,a2,a3,a4,a6] |
Generators |
[257:2596:1] |
Generators of the group modulo torsion |
j |
6883396367640625/52013826048 |
j-invariant |
L |
3.8071719465088 |
L(r)(E,1)/r! |
Ω |
0.56467860223395 |
Real period |
R |
3.371096347012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000145 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6726h1 |
Quadratic twists by: -4 |