Atkin-Lehner |
2+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
10478f |
Isogeny class |
Conductor |
10478 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-1929642394784 = -1 · 25 · 137 · 312 |
Discriminant |
Eigenvalues |
2+ 1 3 3 4 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-16397,809512] |
[a1,a2,a3,a4,a6] |
j |
-100999381393/399776 |
j-invariant |
L |
3.3411966241479 |
L(r)(E,1)/r! |
Ω |
0.83529915603696 |
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 |
83824r1 94302ch1 806c1 |
Quadratic twists by: -4 -3 13 |