Atkin-Lehner |
2- 7- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
32648i |
Isogeny class |
Conductor |
32648 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
28416 |
Modular degree for the optimal curve |
Δ |
12071728592 = 24 · 76 · 112 · 53 |
Discriminant |
Eigenvalues |
2- 2 0 7- 11- -6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2023,35304] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:231:1] |
Generators of the group modulo torsion |
j |
57254027008000/754483037 |
j-invariant |
L |
8.2135152172852 |
L(r)(E,1)/r! |
Ω |
1.2729643571257 |
Real period |
R |
1.0753790514385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65296a1 |
Quadratic twists by: -4 |