Atkin-Lehner |
2- 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4830t |
Isogeny class |
Conductor |
4830 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
235066440 = 23 · 3 · 5 · 7 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4491,-117711] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:20:1] |
Generators of the group modulo torsion |
j |
10017490085065009/235066440 |
j-invariant |
L |
4.5000210235199 |
L(r)(E,1)/r! |
Ω |
0.58319514341695 |
Real period |
R |
1.2860249478857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38640cn4 14490be4 24150bd4 33810dg4 |
Quadratic twists by: -4 -3 5 -7 |