Atkin-Lehner |
2- 3+ 5- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
52470u |
Isogeny class |
Conductor |
52470 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
58752967680 = 210 · 39 · 5 · 11 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11+ -2 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1352,15499] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:47:1] |
Generators of the group modulo torsion |
j |
13875904827/2984960 |
j-invariant |
L |
9.7065711238772 |
L(r)(E,1)/r! |
Ω |
1.0504277571227 |
Real period |
R |
1.848117789742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999907 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52470a1 |
Quadratic twists by: -3 |