Atkin-Lehner |
2+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
62656g |
Isogeny class |
Conductor |
62656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
705757184 = 216 · 112 · 89 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 11- -2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-236,560] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:44:1] |
Generators of the group modulo torsion |
j |
22180932/10769 |
j-invariant |
L |
3.1716755207467 |
L(r)(E,1)/r! |
Ω |
1.4296529309427 |
Real period |
R |
1.1092466750714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001382 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62656n1 7832a1 |
Quadratic twists by: -4 8 |