Atkin-Lehner |
2- 3- 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
53820r |
Isogeny class |
Conductor |
53820 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
46547358296400 = 24 · 311 · 52 · 134 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14232,565081] |
[a1,a2,a3,a4,a6] |
j |
27332163272704/3990685725 |
j-invariant |
L |
3.6716335195438 |
L(r)(E,1)/r! |
Ω |
0.61193891979731 |
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 |
17940f1 |
Quadratic twists by: -3 |