Atkin-Lehner |
2- 3- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
41454bm |
Isogeny class |
Conductor |
41454 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
1535910672931488 = 25 · 311 · 78 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 2 -1 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-72995,-7334589] |
[a1,a2,a3,a4,a6] |
Generators |
[-151:552:1] |
Generators of the group modulo torsion |
j |
10234947625/365472 |
j-invariant |
L |
9.6635845849843 |
L(r)(E,1)/r! |
Ω |
0.29109114299014 |
Real period |
R |
3.3197796695966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13818a1 41454bu1 |
Quadratic twists by: -3 -7 |