Atkin-Lehner |
2- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
45472bi |
Isogeny class |
Conductor |
45472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-97823731712 = -1 · 212 · 77 · 29 |
Discriminant |
Eigenvalues |
2- -1 2 7- 0 0 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1437,26293] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:49:1] [-9:196:1] |
Generators of the group modulo torsion |
j |
-681472/203 |
j-invariant |
L |
8.7218846023179 |
L(r)(E,1)/r! |
Ω |
1.009680601454 |
Real period |
R |
1.0797826299921 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45472s1 90944s1 6496j1 |
Quadratic twists by: -4 8 -7 |