Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600p |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-22598019920000000 = -1 · 210 · 57 · 710 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -2 0 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20008,-7307488] |
[a1,a2,a3,a4,a6] |
j |
-196/5 |
j-invariant |
L |
1.3204179907867 |
L(r)(E,1)/r! |
Ω |
0.16505224884834 |
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 |
9800f1 78400hg1 3920i1 19600a1 |
Quadratic twists by: -4 8 5 -7 |