Atkin-Lehner |
3+ 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4845b |
Isogeny class |
Conductor |
4845 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
49055625 = 35 · 54 · 17 · 19 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 4 -6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1643,-26328] |
[a1,a2,a3,a4,a6] |
Generators |
[8420216:11491017:175616] |
Generators of the group modulo torsion |
j |
490963665709369/49055625 |
j-invariant |
L |
4.0170670764541 |
L(r)(E,1)/r! |
Ω |
0.74982230464517 |
Real period |
R |
10.71471747791 |
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 |
77520cm1 14535m1 24225m1 82365o1 |
Quadratic twists by: -4 -3 5 17 |