Atkin-Lehner |
2+ 3+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
60384d |
Isogeny class |
Conductor |
60384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30224640 |
Modular degree for the optimal curve |
Δ |
-1.3916060694803E+28 |
Discriminant |
Eigenvalues |
2+ 3+ -1 4 3 1 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,225630259,-5523786180123] |
[a1,a2,a3,a4,a6] |
j |
310138575648199670005208576/3397475755567185090474939 |
j-invariant |
L |
1.9525526855531 |
L(r)(E,1)/r! |
Ω |
0.019525526827409 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60384p1 120768db1 |
Quadratic twists by: -4 8 |