Atkin-Lehner |
2+ 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
53424l |
Isogeny class |
Conductor |
53424 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-40911943503658752 = -1 · 28 · 310 · 73 · 534 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,49641,8751062] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:2680:1] |
Generators of the group modulo torsion |
j |
72489947189168/219221233623 |
j-invariant |
L |
7.817206410236 |
L(r)(E,1)/r! |
Ω |
0.25549529068056 |
Real period |
R |
5.099380624864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999916 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26712d1 17808f1 |
Quadratic twists by: -4 -3 |