Atkin-Lehner |
3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
4557g |
Isogeny class |
Conductor |
4557 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7896 |
Modular degree for the optimal curve |
Δ |
26270198157 = 3 · 710 · 31 |
Discriminant |
Eigenvalues |
2 3+ -4 7- 3 0 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-800,4157] |
[a1,a2,a3,a4,a6] |
Generators |
[42:65:8] |
Generators of the group modulo torsion |
j |
200704/93 |
j-invariant |
L |
4.9808972237208 |
L(r)(E,1)/r! |
Ω |
1.0639746084815 |
Real period |
R |
4.6814061012502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72912cr1 13671u1 113925cn1 4557i1 |
Quadratic twists by: -4 -3 5 -7 |