Atkin-Lehner |
2+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
64288a |
Isogeny class |
Conductor |
64288 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-403214336 = -1 · 212 · 74 · 41 |
Discriminant |
Eigenvalues |
2+ -1 1 7+ -3 0 -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,1009] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-28:1] |
Generators of the group modulo torsion |
j |
-3136/41 |
j-invariant |
L |
3.9588614441142 |
L(r)(E,1)/r! |
Ω |
1.4284471662596 |
Real period |
R |
0.23095367344067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993718 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64288k1 128576d1 64288g1 |
Quadratic twists by: -4 8 -7 |