Atkin-Lehner |
2+ 17+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
59432b |
Isogeny class |
Conductor |
59432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11136 |
Modular degree for the optimal curve |
Δ |
-38393072 = -1 · 24 · 172 · 192 · 23 |
Discriminant |
Eigenvalues |
2+ -1 0 -2 -4 1 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,301] |
[a1,a2,a3,a4,a6] |
Generators |
[2:-17:1] [5:19:1] |
Generators of the group modulo torsion |
j |
-4000000/2399567 |
j-invariant |
L |
7.632806254398 |
L(r)(E,1)/r! |
Ω |
1.6586595782728 |
Real period |
R |
0.57522399068357 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118864a1 |
Quadratic twists by: -4 |