Atkin-Lehner |
2- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
52528bf |
Isogeny class |
Conductor |
52528 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
367696 = 24 · 73 · 67 |
Discriminant |
Eigenvalues |
2- 3 -1 7- 6 1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28,-49] |
[a1,a2,a3,a4,a6] |
Generators |
[-105:28:27] |
Generators of the group modulo torsion |
j |
442368/67 |
j-invariant |
L |
11.268101821926 |
L(r)(E,1)/r! |
Ω |
2.0965300892474 |
Real period |
R |
2.6873217512213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000068 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13132g1 52528bh1 |
Quadratic twists by: -4 -7 |