Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
101400h |
Isogeny class |
Conductor |
101400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
988416 |
Modular degree for the optimal curve |
Δ |
10587532174003200 = 210 · 3 · 52 · 1310 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 3 13+ -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-238008,-44338308] |
[a1,a2,a3,a4,a6] |
Generators |
[-9787998:16381756:35937] |
Generators of the group modulo torsion |
j |
422500/3 |
j-invariant |
L |
4.805048350522 |
L(r)(E,1)/r! |
Ω |
0.21624066887051 |
Real period |
R |
11.110417823309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999738517 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101400dr1 101400cd1 |
Quadratic twists by: 5 13 |