Atkin-Lehner |
2+ 3+ 5+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
104130b |
Isogeny class |
Conductor |
104130 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
188800 |
Modular degree for the optimal curve |
Δ |
-5576356743750 = -1 · 2 · 33 · 55 · 135 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 13+ -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3195,89075] |
[a1,a2,a3,a4,a6] |
j |
133566047018613/206531731250 |
j-invariant |
L |
1.035681490761 |
L(r)(E,1)/r! |
Ω |
0.51784065517744 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104130be1 |
Quadratic twists by: -3 |