Atkin-Lehner |
2+ 3- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
60384n |
Isogeny class |
Conductor |
60384 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-16903655424 = -1 · 212 · 38 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -1 1 -3 -4 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,479,4943] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-108:1] |
Generators of the group modulo torsion |
j |
2961169856/4126869 |
j-invariant |
L |
6.3209433506008 |
L(r)(E,1)/r! |
Ω |
0.83391138176309 |
Real period |
R |
0.23687106810998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999484 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60384b1 120768bw1 |
Quadratic twists by: -4 8 |