Atkin-Lehner |
2- 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4830s |
Isogeny class |
Conductor |
4830 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
1343744640000 = 210 · 34 · 54 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6216,177609] |
[a1,a2,a3,a4,a6] |
Generators |
[1:413:1] |
Generators of the group modulo torsion |
j |
26562019806177409/1343744640000 |
j-invariant |
L |
4.664226110731 |
L(r)(E,1)/r! |
Ω |
0.84579809511531 |
Real period |
R |
0.55145857358488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38640cl2 14490z2 24150ba2 33810dd2 |
Quadratic twists by: -4 -3 5 -7 |