Atkin-Lehner |
2+ 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
53424o |
Isogeny class |
Conductor |
53424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-623137536 = -1 · 28 · 38 · 7 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 3 -4 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-444,-3796] |
[a1,a2,a3,a4,a6] |
Generators |
[25:27:1] |
Generators of the group modulo torsion |
j |
-51868672/3339 |
j-invariant |
L |
4.0853835649317 |
L(r)(E,1)/r! |
Ω |
0.51809669944042 |
Real period |
R |
1.9713422076354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26712f1 17808h1 |
Quadratic twists by: -4 -3 |