Atkin-Lehner |
2+ 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
20600a |
Isogeny class |
Conductor |
20600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-2060000000 = -1 · 28 · 57 · 103 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 0 -4 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,92,-2188] |
[a1,a2,a3,a4,a6] |
Generators |
[22:100:1] |
Generators of the group modulo torsion |
j |
21296/515 |
j-invariant |
L |
4.1338149976646 |
L(r)(E,1)/r! |
Ω |
0.71219729517181 |
Real period |
R |
0.72553894575439 |
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 |
41200h1 4120e1 |
Quadratic twists by: -4 5 |