Atkin-Lehner |
2- 3+ 7- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128478by |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-324091950723072 = -1 · 212 · 34 · 76 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-932,865829] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:931:1] |
Generators of the group modulo torsion |
j |
-761048497/2754736128 |
j-invariant |
L |
10.093617486814 |
L(r)(E,1)/r! |
Ω |
0.43538002429286 |
Real period |
R |
0.96597770759713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999401739 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2622e1 |
Quadratic twists by: -7 |