Atkin-Lehner |
2- 3- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
18396f |
Isogeny class |
Conductor |
18396 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
-6.9033674973846E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 2 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4952100,-5828498611] |
[a1,a2,a3,a4,a6] |
Generators |
[3639364299461755529:382132625501915459118:316475595412523] |
Generators of the group modulo torsion |
j |
-1151448237015808000000/591852494631738123 |
j-invariant |
L |
4.6066980864977 |
L(r)(E,1)/r! |
Ω |
0.049404640567624 |
Real period |
R |
23.31105961692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73584ba1 6132b1 128772k1 |
Quadratic twists by: -4 -3 -7 |