Atkin-Lehner |
2+ 3+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
60384a |
Isogeny class |
Conductor |
60384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-152132898816 = -1 · 212 · 310 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -3 5 3 -2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,383,-18671] |
[a1,a2,a3,a4,a6] |
Generators |
[40:243:1] |
Generators of the group modulo torsion |
j |
1512953792/37141821 |
j-invariant |
L |
5.2853630344654 |
L(r)(E,1)/r! |
Ω |
0.49749217557221 |
Real period |
R |
1.3280015481107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996262 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60384l1 120768dk1 |
Quadratic twists by: -4 8 |