Atkin-Lehner |
2+ 3+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4830a |
Isogeny class |
Conductor |
4830 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1469997007491600 = 24 · 310 · 52 · 76 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-53823,4415733] |
[a1,a2,a3,a4,a6] |
Generators |
[-141:3108:1] |
Generators of the group modulo torsion |
j |
17244079743478944889/1469997007491600 |
j-invariant |
L |
2.078826112169 |
L(r)(E,1)/r! |
Ω |
0.46659680625475 |
Real period |
R |
2.2276471723577 |
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 |
38640cr2 14490bw2 24150cl2 33810bk2 |
Quadratic twists by: -4 -3 5 -7 |