Atkin-Lehner |
2- 3- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720cr |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3051820800 = 28 · 34 · 52 · 7 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1020,-12600] |
[a1,a2,a3,a4,a6] |
Generators |
[95:870:1] |
Generators of the group modulo torsion |
j |
458891455696/11921175 |
j-invariant |
L |
7.598127732202 |
L(r)(E,1)/r! |
Ω |
0.84606237568916 |
Real period |
R |
2.2451440787695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12180e2 |
Quadratic twists by: -4 |