Atkin-Lehner |
2- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
62656q |
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 |
[14:51:1] |
Generators of the group modulo torsion |
j |
32768/979 |
j-invariant |
L |
7.1782905876339 |
L(r)(E,1)/r! |
Ω |
2.6340965102139 |
Real period |
R |
2.7251433496667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000619 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62656k1 15664g1 |
Quadratic twists by: -4 8 |