Atkin-Lehner |
2+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
18368m |
Isogeny class |
Conductor |
18368 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
23296 |
Modular degree for the optimal curve |
Δ |
1106420137984 = 215 · 77 · 41 |
Discriminant |
Eigenvalues |
2+ 1 1 7- 0 6 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2625,-11809] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:196:1] |
Generators of the group modulo torsion |
j |
61069889672/33765263 |
j-invariant |
L |
6.6215595753093 |
L(r)(E,1)/r! |
Ω |
0.71419616881823 |
Real period |
R |
0.66223897822938 |
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 |
18368e1 9184c1 128576s1 |
Quadratic twists by: -4 8 -7 |