Atkin-Lehner |
2+ 3+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
64944c |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
17408 |
Modular degree for the optimal curve |
Δ |
511239168 = 210 · 33 · 11 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11+ -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-339,-2142] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:16:1] |
Generators of the group modulo torsion |
j |
155832876/18491 |
j-invariant |
L |
7.0270208657979 |
L(r)(E,1)/r! |
Ω |
1.1212545077405 |
Real period |
R |
1.5667765028366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000126 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32472l1 64944h1 |
Quadratic twists by: -4 -3 |