Atkin-Lehner |
11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
101761a |
Isogeny class |
Conductor |
101761 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-791709840251 = -1 · 113 · 296 |
Discriminant |
Eigenvalues |
0 1 -3 0 11+ 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6167,189217] |
[a1,a2,a3,a4,a6] |
Generators |
[77:420:1] |
Generators of the group modulo torsion |
j |
-32768 |
j-invariant |
L |
3.3226588298595 |
L(r)(E,1)/r! |
Ω |
0.89178725145747 |
Real period |
R |
0.93146062525937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999593574 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101761a2 121b1 |
Quadratic twists by: -11 29 |