Atkin-Lehner |
2+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
64192y |
Isogeny class |
Conductor |
64192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-17879269376 = -1 · 220 · 172 · 59 |
Discriminant |
Eigenvalues |
2+ 1 1 -5 2 4 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5665,162367] |
[a1,a2,a3,a4,a6] |
Generators |
[42:17:1] |
Generators of the group modulo torsion |
j |
-76711450249/68204 |
j-invariant |
L |
6.9421179106663 |
L(r)(E,1)/r! |
Ω |
1.220273629945 |
Real period |
R |
1.4222461545578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998214 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64192ce1 2006d1 |
Quadratic twists by: -4 8 |