Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81796f |
Isogeny class |
Conductor |
81796 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-24079578206038784 = -1 · 28 · 117 · 136 |
Discriminant |
Eigenvalues |
2- 1 3 2 11- 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,54531,5649983] |
[a1,a2,a3,a4,a6] |
Generators |
[901:28054:1] |
Generators of the group modulo torsion |
j |
8192/11 |
j-invariant |
L |
10.626396657415 |
L(r)(E,1)/r! |
Ω |
0.25539414021372 |
Real period |
R |
3.467319391599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991056 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7436c1 484a1 |
Quadratic twists by: -11 13 |