Atkin-Lehner |
2- 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4830s |
Isogeny class |
Conductor |
4830 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-220374787500000 = -1 · 25 · 32 · 58 · 7 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3864,709833] |
[a1,a2,a3,a4,a6] |
Generators |
[57:1029:1] |
Generators of the group modulo torsion |
j |
6380108151242111/220374787500000 |
j-invariant |
L |
4.664226110731 |
L(r)(E,1)/r! |
Ω |
0.42289904755766 |
Real period |
R |
1.1029171471698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38640cl3 14490z4 24150ba3 33810dd3 |
Quadratic twists by: -4 -3 5 -7 |