Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
18150bo |
Isogeny class |
Conductor |
18150 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
3125352484980000 = 25 · 36 · 54 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11- 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-40901,1700048] |
[a1,a2,a3,a4,a6] |
j |
56479225/23328 |
j-invariant |
L |
2.4401475350193 |
L(r)(E,1)/r! |
Ω |
0.40669125583656 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
54450gx1 18150by1 18150df1 |
Quadratic twists by: -3 5 -11 |