Atkin-Lehner |
2+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
64192bb |
Isogeny class |
Conductor |
64192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-71517077504 = -1 · 222 · 172 · 59 |
Discriminant |
Eigenvalues |
2+ 1 3 1 -4 2 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-769,-15521] |
[a1,a2,a3,a4,a6] |
Generators |
[7545:50252:125] |
Generators of the group modulo torsion |
j |
-192100033/272816 |
j-invariant |
L |
9.4497983559559 |
L(r)(E,1)/r! |
Ω |
0.43105794999042 |
Real period |
R |
5.480584661374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000458 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64192ci1 2006j1 |
Quadratic twists by: -4 8 |