Atkin-Lehner |
2- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
64192cj |
Isogeny class |
Conductor |
64192 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1204224 |
Modular degree for the optimal curve |
Δ |
-93330903597056 = -1 · 216 · 176 · 59 |
Discriminant |
Eigenvalues |
2- 3 1 -3 2 0 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1453612,674560592] |
[a1,a2,a3,a4,a6] |
Generators |
[18687:4913:27] |
Generators of the group modulo torsion |
j |
-5183096326183997316/1424116571 |
j-invariant |
L |
11.479825371519 |
L(r)(E,1)/r! |
Ω |
0.48175757493818 |
Real period |
R |
1.9857541717656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000837 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64192bg1 16048o1 |
Quadratic twists by: -4 8 |