Atkin-Lehner |
5+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
18025a |
Isogeny class |
Conductor |
18025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
22003173828125 = 515 · 7 · 103 |
Discriminant |
Eigenvalues |
0 2 5+ 7+ 6 -5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-9133,251918] |
[a1,a2,a3,a4,a6] |
Generators |
[4764:54674:27] |
Generators of the group modulo torsion |
j |
5392518086656/1408203125 |
j-invariant |
L |
5.7178846999136 |
L(r)(E,1)/r! |
Ω |
0.63481898121518 |
Real period |
R |
2.2517776205149 |
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 |
3605c1 126175c1 |
Quadratic twists by: 5 -7 |