Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20800dt |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-332800000000 = -1 · 216 · 58 · 13 |
Discriminant |
Eigenvalues |
2- 2 5- -3 3 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-833,29537] |
[a1,a2,a3,a4,a6] |
Generators |
[13:144:1] |
Generators of the group modulo torsion |
j |
-2500/13 |
j-invariant |
L |
7.0274604033561 |
L(r)(E,1)/r! |
Ω |
0.83387747908563 |
Real period |
R |
2.1068623927408 |
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 |
20800bp1 5200m1 20800dh1 |
Quadratic twists by: -4 8 5 |