Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48510db |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
3440640 |
Modular degree for the optimal curve |
Δ |
1.3153094569259E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ -6 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3095168,1161883811] |
[a1,a2,a3,a4,a6] |
j |
111472148624383/44711377920 |
j-invariant |
L |
2.7719645630569 |
L(r)(E,1)/r! |
Ω |
0.13859822819824 |
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 |
16170bg1 48510ea1 |
Quadratic twists by: -3 -7 |