Atkin-Lehner |
2+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
64192x |
Isogeny class |
Conductor |
64192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-1117454336 = -1 · 216 · 172 · 59 |
Discriminant |
Eigenvalues |
2+ 1 1 -1 6 4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,255,-289] |
[a1,a2,a3,a4,a6] |
Generators |
[34:221:1] |
Generators of the group modulo torsion |
j |
27871484/17051 |
j-invariant |
L |
8.4374342512631 |
L(r)(E,1)/r! |
Ω |
0.89597524446933 |
Real period |
R |
2.3542598703611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999643 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64192cd1 8024e1 |
Quadratic twists by: -4 8 |