Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
60552u |
Isogeny class |
Conductor |
60552 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-507634051987608048 = -1 · 24 · 37 · 299 |
Discriminant |
Eigenvalues |
2- 3- -4 3 1 1 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-275007,65240575] |
[a1,a2,a3,a4,a6] |
Generators |
[29:7569:1] |
Generators of the group modulo torsion |
j |
-331527424/73167 |
j-invariant |
L |
5.596226855321 |
L(r)(E,1)/r! |
Ω |
0.28084374857375 |
Real period |
R |
1.2454048923322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000083 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121104r1 20184h1 2088g1 |
Quadratic twists by: -4 -3 29 |