Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
60984ca |
Isogeny class |
Conductor |
60984 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-143775024624 = -1 · 24 · 39 · 73 · 113 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11+ -1 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2343,47311] |
[a1,a2,a3,a4,a6] |
Generators |
[418:-2079:8] [33:77:1] |
Generators of the group modulo torsion |
j |
-91625216/9261 |
j-invariant |
L |
9.8874397103647 |
L(r)(E,1)/r! |
Ω |
1.0066920720884 |
Real period |
R |
0.20461900218626 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999862 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121968z1 20328f1 60984n1 |
Quadratic twists by: -4 -3 -11 |