Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97104cc |
Isogeny class |
Conductor |
97104 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-993947222016 = -1 · 216 · 32 · 73 · 173 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -6 6 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,856,46704] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-224:1] |
Generators of the group modulo torsion |
j |
3442951/49392 |
j-invariant |
L |
5.3694922547548 |
L(r)(E,1)/r! |
Ω |
0.65154638790021 |
Real period |
R |
0.68676259767061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999561743 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12138i1 97104cj1 |
Quadratic twists by: -4 17 |