Atkin-Lehner |
2- 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
96960dd |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-26352845586432000 = -1 · 233 · 35 · 53 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -2 3 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-71041,-10706305] |
[a1,a2,a3,a4,a6] |
Generators |
[1154:38019:1] |
Generators of the group modulo torsion |
j |
-151257563987041/100528128000 |
j-invariant |
L |
8.9556114557734 |
L(r)(E,1)/r! |
Ω |
0.14199499866403 |
Real period |
R |
6.3069907676791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999405 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96960d1 24240bd1 |
Quadratic twists by: -4 8 |