Atkin-Lehner |
2- 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
53424bl |
Isogeny class |
Conductor |
53424 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-2473232880384 = -1 · 28 · 312 · 73 · 53 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -1 -4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2208,-85556] |
[a1,a2,a3,a4,a6] |
Generators |
[62:126:1] [230:3402:1] |
Generators of the group modulo torsion |
j |
-6379012096/13252491 |
j-invariant |
L |
9.493727418953 |
L(r)(E,1)/r! |
Ω |
0.32673650342509 |
Real period |
R |
1.2106757942347 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13356b1 17808be1 |
Quadratic twists by: -4 -3 |