Atkin-Lehner |
2- 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
18300j |
Isogeny class |
Conductor |
18300 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
108566894531250000 = 24 · 36 · 516 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-703633,-226859512] |
[a1,a2,a3,a4,a6] |
j |
154107196178907136/434267578125 |
j-invariant |
L |
2.967624987739 |
L(r)(E,1)/r! |
Ω |
0.16486805487439 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73200bo1 54900p1 3660d1 |
Quadratic twists by: -4 -3 5 |