Atkin-Lehner |
3- 5- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
14805l |
Isogeny class |
Conductor |
14805 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-161892675 = -1 · 39 · 52 · 7 · 47 |
Discriminant |
Eigenvalues |
2 3- 5- 7+ 5 -2 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,123,-315] |
[a1,a2,a3,a4,a6] |
Generators |
[34:131:8] |
Generators of the group modulo torsion |
j |
282300416/222075 |
j-invariant |
L |
9.951065695053 |
L(r)(E,1)/r! |
Ω |
1.0110931887031 |
Real period |
R |
1.2302359720939 |
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 |
4935h1 74025bg1 103635z1 |
Quadratic twists by: -3 5 -7 |