Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
60984cf |
Isogeny class |
Conductor |
60984 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-4773265613424 = -1 · 24 · 37 · 7 · 117 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11- 5 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-363,-105149] |
[a1,a2,a3,a4,a6] |
Generators |
[110:1089:1] |
Generators of the group modulo torsion |
j |
-256/231 |
j-invariant |
L |
6.5320728741645 |
L(r)(E,1)/r! |
Ω |
0.34761769112295 |
Real period |
R |
0.58721774678211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997463 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121968bh1 20328i1 5544f1 |
Quadratic twists by: -4 -3 -11 |