Atkin-Lehner |
2+ 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
96960v |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
16754688000 = 214 · 34 · 53 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16881,838575] |
[a1,a2,a3,a4,a6] |
Generators |
[69:84:1] [-69:1296:1] |
Generators of the group modulo torsion |
j |
32473119372496/1022625 |
j-invariant |
L |
12.891470158997 |
L(r)(E,1)/r! |
Ω |
1.1514626145117 |
Real period |
R |
2.7989337207889 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992702 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96960bs1 12120d1 |
Quadratic twists by: -4 8 |