Atkin-Lehner |
2+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86632c |
Isogeny class |
Conductor |
86632 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22272 |
Modular degree for the optimal curve |
Δ |
-1212848 = -1 · 24 · 73 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ -3 -2 7- 3 13+ 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14,49] |
[a1,a2,a3,a4,a6] |
Generators |
[0:7:1] [4:13:1] |
Generators of the group modulo torsion |
j |
55296/221 |
j-invariant |
L |
6.0964181657793 |
L(r)(E,1)/r! |
Ω |
1.948741499627 |
Real period |
R |
0.78209682596521 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997366 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86632n1 |
Quadratic twists by: -7 |