Atkin-Lehner |
2+ 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
111552br |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
199901184 = 214 · 3 · 72 · 83 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -2 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-369,-2769] |
[a1,a2,a3,a4,a6] |
Generators |
[131:1488:1] |
Generators of the group modulo torsion |
j |
340062928/12201 |
j-invariant |
L |
7.7975122079646 |
L(r)(E,1)/r! |
Ω |
1.0914449379148 |
Real period |
R |
3.5721051762637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999785833 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111552ch1 13944e1 |
Quadratic twists by: -4 8 |