Atkin-Lehner |
2- 5- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52700g |
Isogeny class |
Conductor |
52700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
494400 |
Modular degree for the optimal curve |
Δ |
22007783500000000 = 28 · 59 · 175 · 31 |
Discriminant |
Eigenvalues |
2- 1 5- 4 -2 3 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-361708,83305588] |
[a1,a2,a3,a4,a6] |
Generators |
[849885:9695602:3375] |
Generators of the group modulo torsion |
j |
10467169363856/44015567 |
j-invariant |
L |
8.508963749161 |
L(r)(E,1)/r! |
Ω |
0.38355073273015 |
Real period |
R |
11.092357572301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52700i1 |
Quadratic twists by: 5 |