Atkin-Lehner |
2+ 3+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
8514a |
Isogeny class |
Conductor |
8514 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-204336 = -1 · 24 · 33 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -3 11- -2 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-351,2621] |
[a1,a2,a3,a4,a6] |
Generators |
[10:1:1] |
Generators of the group modulo torsion |
j |
-177409591659/7568 |
j-invariant |
L |
2.0587993707865 |
L(r)(E,1)/r! |
Ω |
2.978636889941 |
Real period |
R |
0.17279710878315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68112bc1 8514f1 93654bc1 |
Quadratic twists by: -4 -3 -11 |