Atkin-Lehner |
2- 3+ 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
15180j |
Isogeny class |
Conductor |
15180 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
187200 |
Modular degree for the optimal curve |
Δ |
55897859531250000 = 24 · 35 · 510 · 112 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-996985,-382659758] |
[a1,a2,a3,a4,a6] |
j |
6849676135853988560896/3493616220703125 |
j-invariant |
L |
2.2663757579243 |
L(r)(E,1)/r! |
Ω |
0.15109171719496 |
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 |
60720cu1 45540j1 75900bd1 |
Quadratic twists by: -4 -3 5 |