Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610cc |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
1915864488000 = 26 · 39 · 53 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15107,715331] |
[a1,a2,a3,a4,a6] |
Generators |
[81:94:1] |
Generators of the group modulo torsion |
j |
42985344527/216000 |
j-invariant |
L |
10.544659531305 |
L(r)(E,1)/r! |
Ω |
0.83622643109975 |
Real period |
R |
0.35027260357942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999889 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15870i1 47610bp1 |
Quadratic twists by: -3 -23 |