Atkin-Lehner |
2- 3+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
52332b |
Isogeny class |
Conductor |
52332 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
102816 |
Modular degree for the optimal curve |
Δ |
3546321101568 = 28 · 33 · 78 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ -3 2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4916,98568] |
[a1,a2,a3,a4,a6] |
Generators |
[82:490:1] |
Generators of the group modulo torsion |
j |
8904784/2403 |
j-invariant |
L |
6.9219367646248 |
L(r)(E,1)/r! |
Ω |
0.73776339146431 |
Real period |
R |
1.0424806839929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999959 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52332h1 |
Quadratic twists by: -7 |