Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600z |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-16141442800000000 = -1 · 210 · 58 · 79 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -4 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,48592,4529188] |
[a1,a2,a3,a4,a6] |
j |
19652/25 |
j-invariant |
L |
1.0521819599502 |
L(r)(E,1)/r! |
Ω |
0.26304548998754 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9800i1 78400ig1 3920g1 19600u1 |
Quadratic twists by: -4 8 5 -7 |