Atkin-Lehner |
2+ 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
23850bp |
Isogeny class |
Conductor |
23850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
1953563994000 = 24 · 38 · 53 · 533 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 4 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-139752,-20073744] |
[a1,a2,a3,a4,a6] |
j |
3312546735495509/21438288 |
j-invariant |
L |
2.9630659357491 |
L(r)(E,1)/r! |
Ω |
0.24692216131242 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7950by1 23850da1 |
Quadratic twists by: -3 5 |