Atkin-Lehner |
2+ 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48510bi |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
3.4631000465568E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1927809,-509203395] |
[a1,a2,a3,a4,a6] |
j |
3168795413730153943/1384979642449920 |
j-invariant |
L |
0.53343173192636 |
L(r)(E,1)/r! |
Ω |
0.13335793315619 |
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 |
16170bz1 48510p1 |
Quadratic twists by: -3 -7 |