Atkin-Lehner |
2- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
18200bb |
Isogeny class |
Conductor |
18200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
63700000000 = 28 · 58 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 4 13- -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7833,263963] |
[a1,a2,a3,a4,a6] |
Generators |
[49:14:1] |
Generators of the group modulo torsion |
j |
531573760/637 |
j-invariant |
L |
6.0877476966357 |
L(r)(E,1)/r! |
Ω |
1.1012292004967 |
Real period |
R |
1.3820346604253 |
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 |
36400v1 18200a1 127400cb1 |
Quadratic twists by: -4 5 -7 |