Atkin-Lehner |
2- 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
128516b |
Isogeny class |
Conductor |
128516 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
93600 |
Modular degree for the optimal curve |
Δ |
-13908515584 = -1 · 28 · 193 · 892 |
Discriminant |
Eigenvalues |
2- -2 3 -1 1 -2 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1469,21919] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:178:1] [25:38:1] |
Generators of the group modulo torsion |
j |
-199794688/7921 |
j-invariant |
L |
10.294281448618 |
L(r)(E,1)/r! |
Ω |
1.2445412363466 |
Real period |
R |
0.68929559191546 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999908388 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128516c1 |
Quadratic twists by: -19 |