Atkin-Lehner |
2- 3- 5- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
60030bq |
Isogeny class |
Conductor |
60030 |
Conductor |
∏ cp |
1440 |
Product of Tamagawa factors cp |
deg |
14745600 |
Modular degree for the optimal curve |
Δ |
-1.1823864876736E+25 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 -6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,24076723,-159073154571] |
[a1,a2,a3,a4,a6] |
Generators |
[10127:-1064904:1] |
Generators of the group modulo torsion |
j |
2117328920459226486154871/16219293383725468876800 |
j-invariant |
L |
9.3096771392432 |
L(r)(E,1)/r! |
Ω |
0.035516866671511 |
Real period |
R |
0.72811080195844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000166 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20010b1 |
Quadratic twists by: -3 |