Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18150bf |
Isogeny class |
Conductor |
18150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
532224 |
Modular degree for the optimal curve |
Δ |
1.4130102019043E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11- -3 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1172251,453707648] |
[a1,a2,a3,a4,a6] |
Generators |
[442:4466:1] |
Generators of the group modulo torsion |
j |
53189206081/4218750 |
j-invariant |
L |
3.7296041154584 |
L(r)(E,1)/r! |
Ω |
0.21769019118772 |
Real period |
R |
1.4277186365593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54450gb1 3630r1 18150cv1 |
Quadratic twists by: -3 5 -11 |