Atkin-Lehner |
2+ 3+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
60306a |
Isogeny class |
Conductor |
60306 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
242880 |
Modular degree for the optimal curve |
Δ |
-3285302454508512 = -1 · 25 · 3 · 19 · 239 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 -2 1 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,36755,514429] |
[a1,a2,a3,a4,a6] |
j |
3048625/1824 |
j-invariant |
L |
0.54723366139573 |
L(r)(E,1)/r! |
Ω |
0.27361683161685 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60306f1 |
Quadratic twists by: -23 |