Atkin-Lehner |
2+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
64192bg |
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 |
[2893:139043:1] |
Generators of the group modulo torsion |
j |
-5183096326183997316/1424116571 |
j-invariant |
L |
4.8051606873133 |
L(r)(E,1)/r! |
Ω |
0.068747581883867 |
Real period |
R |
5.8246420650871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999059 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64192cj1 8024g1 |
Quadratic twists by: -4 8 |