Atkin-Lehner |
2+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97216q |
Isogeny class |
Conductor |
97216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
696844288 = 216 · 73 · 31 |
Discriminant |
Eigenvalues |
2+ 0 2 7- -4 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-364,2352] |
[a1,a2,a3,a4,a6] |
Generators |
[21:63:1] |
Generators of the group modulo torsion |
j |
237276/31 |
j-invariant |
L |
6.6878949644758 |
L(r)(E,1)/r! |
Ω |
1.5504318542905 |
Real period |
R |
2.1567845595918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999994632 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97216bl1 12152b1 97216e1 |
Quadratic twists by: -4 8 -7 |