Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
60984bl |
Isogeny class |
Conductor |
60984 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-58929205104 = -1 · 24 · 33 · 7 · 117 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 11- 1 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-363,11979] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:121:1] |
Generators of the group modulo torsion |
j |
-6912/77 |
j-invariant |
L |
4.8762728791204 |
L(r)(E,1)/r! |
Ω |
0.9460661776573 |
Real period |
R |
0.3221413703868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999311 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121968r1 60984c1 5544c1 |
Quadratic twists by: -4 -3 -11 |