Atkin-Lehner |
3+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
759a |
Isogeny class |
Conductor |
759 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
160 |
Modular degree for the optimal curve |
Δ |
-164333367 = -1 · 310 · 112 · 23 |
Discriminant |
Eigenvalues |
-1 3+ 0 -2 11- 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-23,-628] |
[a1,a2,a3,a4,a6] |
Generators |
[10:11:1] |
Generators of the group modulo torsion |
j |
-1349232625/164333367 |
j-invariant |
L |
1.2941612046727 |
L(r)(E,1)/r! |
Ω |
0.80529055546341 |
Real period |
R |
1.6070736157187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12144bb1 48576bd1 2277a1 18975p1 |
Quadratic twists by: -4 8 -3 5 |