Atkin-Lehner |
2+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
45472s |
Isogeny class |
Conductor |
45472 |
Conductor |
∏ cp |
4 |
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 |
[1263:2836:27] |
Generators of the group modulo torsion |
j |
-681472/203 |
j-invariant |
L |
8.2581692748402 |
L(r)(E,1)/r! |
Ω |
0.38182918891725 |
Real period |
R |
5.4069787712282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999961 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45472bi1 90944w1 6496h1 |
Quadratic twists by: -4 8 -7 |