Atkin-Lehner |
2- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
20800cx |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-714025000000 = -1 · 26 · 58 · 134 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 -4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-575,41000] |
[a1,a2,a3,a4,a6] |
Generators |
[220:3250:1] |
Generators of the group modulo torsion |
j |
-21024576/714025 |
j-invariant |
L |
3.4484696214413 |
L(r)(E,1)/r! |
Ω |
0.75291953855729 |
Real period |
R |
1.145032584773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20800cw1 10400b4 4160k1 |
Quadratic twists by: -4 8 5 |