Atkin-Lehner |
2- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
112700bb |
Isogeny class |
Conductor |
112700 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
13940935904000 = 28 · 53 · 77 · 232 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 2 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7268,154468] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:490:1] |
Generators of the group modulo torsion |
j |
11279504/3703 |
j-invariant |
L |
3.18567272334 |
L(r)(E,1)/r! |
Ω |
0.65027597098406 |
Real period |
R |
0.40824625014993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008594 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112700y2 16100h2 |
Quadratic twists by: 5 -7 |