Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
93492ba |
Isogeny class |
Conductor |
93492 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
6892173770832 = 24 · 310 · 72 · 533 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 1 -3 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5376,84049] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:477:1] |
Generators of the group modulo torsion |
j |
30064771072/12059037 |
j-invariant |
L |
4.2937155983762 |
L(r)(E,1)/r! |
Ω |
0.67891183972584 |
Real period |
R |
0.35135600994082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31164m1 93492h1 |
Quadratic twists by: -3 -7 |