Atkin-Lehner |
2+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
20800bz |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-2163200000000 = -1 · 215 · 58 · 132 |
Discriminant |
Eigenvalues |
2+ -1 5- 4 5 13- 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3167,-18463] |
[a1,a2,a3,a4,a6] |
Generators |
[17:200:1] |
Generators of the group modulo torsion |
j |
274360/169 |
j-invariant |
L |
5.1246318850046 |
L(r)(E,1)/r! |
Ω |
0.4759940667252 |
Real period |
R |
0.44859031544427 |
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 |
20800bw1 10400q1 20800g1 |
Quadratic twists by: -4 8 5 |