Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20800r |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-6815744000000 = -1 · 225 · 56 · 13 |
Discriminant |
Eigenvalues |
2+ -3 5+ -1 2 13+ 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4300,166000] |
[a1,a2,a3,a4,a6] |
Generators |
[46:256:1] |
Generators of the group modulo torsion |
j |
-2146689/1664 |
j-invariant |
L |
2.8139600074303 |
L(r)(E,1)/r! |
Ω |
0.68728269841617 |
Real period |
R |
1.0235817131419 |
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 |
20800cs1 650f1 832f1 |
Quadratic twists by: -4 8 5 |