Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18150cr |
Isogeny class |
Conductor |
18150 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
567187500000 = 25 · 3 · 511 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11- -7 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-19588,-1056208] |
[a1,a2,a3,a4,a6] |
j |
439632699649/300000 |
j-invariant |
L |
4.0357077097896 |
L(r)(E,1)/r! |
Ω |
0.40357077097896 |
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 |
54450bu1 3630a1 18150ba1 |
Quadratic twists by: -3 5 -11 |