Atkin-Lehner |
2+ 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
60552c |
Isogeny class |
Conductor |
60552 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
-470852352 = -1 · 28 · 37 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 -2 -2 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1740,27956] |
[a1,a2,a3,a4,a6] |
Generators |
[22:18:1] [-20:234:1] |
Generators of the group modulo torsion |
j |
-3712000/3 |
j-invariant |
L |
10.287381522605 |
L(r)(E,1)/r! |
Ω |
1.6504037805158 |
Real period |
R |
0.38957820671156 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999922 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121104f1 20184k1 60552w1 |
Quadratic twists by: -4 -3 29 |