Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20800dv |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-348966092800000000 = -1 · 236 · 58 · 13 |
Discriminant |
Eigenvalues |
2- -2 5- -5 -3 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208833,46374463] |
[a1,a2,a3,a4,a6] |
Generators |
[719:16384:1] |
Generators of the group modulo torsion |
j |
-9836106385/3407872 |
j-invariant |
L |
1.727032811565 |
L(r)(E,1)/r! |
Ω |
0.28583896727139 |
Real period |
R |
1.5104945522747 |
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 |
20800bn1 5200bj1 20800df1 |
Quadratic twists by: -4 8 5 |