Atkin-Lehner |
2+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
62656k |
Isogeny class |
Conductor |
62656 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-62656 = -1 · 26 · 11 · 89 |
Discriminant |
Eigenvalues |
2+ -2 -3 0 11- 1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3,-11] |
[a1,a2,a3,a4,a6] |
Generators |
[4:9:1] |
Generators of the group modulo torsion |
j |
32768/979 |
j-invariant |
L |
3.0065772270571 |
L(r)(E,1)/r! |
Ω |
1.6881320332848 |
Real period |
R |
1.7810083379393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000779 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62656q1 979a1 |
Quadratic twists by: -4 8 |