Atkin-Lehner |
2- 5+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
53360m |
Isogeny class |
Conductor |
53360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
472320 |
Modular degree for the optimal curve |
Δ |
-26680000000000 = -1 · 212 · 510 · 23 · 29 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 0 5 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1568341,-756500541] |
[a1,a2,a3,a4,a6] |
Generators |
[239127679591603398584:7787935726023322909375:118324489481145856] |
Generators of the group modulo torsion |
j |
-104156296498930253824/6513671875 |
j-invariant |
L |
4.0609937208258 |
L(r)(E,1)/r! |
Ω |
0.067454264353424 |
Real period |
R |
30.101830920195 |
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 |
3335a1 |
Quadratic twists by: -4 |