Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
46746bw |
Isogeny class |
Conductor |
46746 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-7473733534570512384 = -1 · 225 · 36 · 78 · 53 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -3 -4 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,320524,111373399] |
[a1,a2,a3,a4,a6] |
Generators |
[1381:55757:1] |
Generators of the group modulo torsion |
j |
42461064302103/87140859904 |
j-invariant |
L |
11.051258730645 |
L(r)(E,1)/r! |
Ω |
0.16245230333563 |
Real period |
R |
0.68027713388561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5194d1 6678u1 |
Quadratic twists by: -3 -7 |