Atkin-Lehner |
2- 3+ 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
96960cn |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-620544000 = -1 · 214 · 3 · 53 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 3 4 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-785,8817] |
[a1,a2,a3,a4,a6] |
Generators |
[19:20:1] |
Generators of the group modulo torsion |
j |
-3269383504/37875 |
j-invariant |
L |
8.2927877710972 |
L(r)(E,1)/r! |
Ω |
1.6314888564148 |
Real period |
R |
0.84715950742049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999943603 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96960bm1 24240k1 |
Quadratic twists by: -4 8 |