Atkin-Lehner |
2- 3- 5- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
127650dr |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
Δ |
8.6218926463407E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-51073263,133191109017] |
[a1,a2,a3,a4,a6] |
Generators |
[11202:977649:1] |
Generators of the group modulo torsion |
j |
7543527697555808356637/441440903492643744 |
j-invariant |
L |
11.981202329493 |
L(r)(E,1)/r! |
Ω |
0.08751207854294 |
Real period |
R |
2.738182510707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000152237 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127650s2 |
Quadratic twists by: 5 |