Atkin-Lehner |
2- 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
23850ck |
Isogeny class |
Conductor |
23850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-10128457728000000 = -1 · 224 · 36 · 56 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 -5 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-63680,7870947] |
[a1,a2,a3,a4,a6] |
Generators |
[189:1505:1] |
Generators of the group modulo torsion |
j |
-2507141976625/889192448 |
j-invariant |
L |
8.96623035084 |
L(r)(E,1)/r! |
Ω |
0.38362376867692 |
Real period |
R |
0.48692620451215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2650b1 954e1 |
Quadratic twists by: -3 5 |