Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
14100g |
Isogeny class |
Conductor |
14100 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
16800 |
Modular degree for the optimal curve |
Δ |
45684000000 = 28 · 35 · 56 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 3 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5533,-159937] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:18:1] |
Generators of the group modulo torsion |
j |
4684079104/11421 |
j-invariant |
L |
6.3978807934444 |
L(r)(E,1)/r! |
Ω |
0.55362600286365 |
Real period |
R |
0.77042151926284 |
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 |
56400bs1 42300t1 564a1 |
Quadratic twists by: -4 -3 5 |