Atkin-Lehner |
2- 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
103200bs |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
303282225000000 = 26 · 38 · 58 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-58258,5366512] |
[a1,a2,a3,a4,a6] |
Generators |
[-3831:88550:27] |
Generators of the group modulo torsion |
j |
21867436817344/303282225 |
j-invariant |
L |
6.9774192490471 |
L(r)(E,1)/r! |
Ω |
0.54702754944501 |
Real period |
R |
6.3775757388072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999906095 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
103200q1 20640j1 |
Quadratic twists by: -4 5 |