Atkin-Lehner |
2+ 5+ 41- 43- |
Signs for the Atkin-Lehner involutions |
Class |
88150f |
Isogeny class |
Conductor |
88150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
208896 |
Modular degree for the optimal curve |
Δ |
-9026560000000 = -1 · 216 · 57 · 41 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2458,136116] |
[a1,a2,a3,a4,a6] |
Generators |
[111:10271:27] |
Generators of the group modulo torsion |
j |
105087226959/577699840 |
j-invariant |
L |
3.4932335461092 |
L(r)(E,1)/r! |
Ω |
0.52744692328485 |
Real period |
R |
6.6229100814308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001335 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17630h1 |
Quadratic twists by: 5 |