Atkin-Lehner |
2+ 3- 5+ 23- 47- |
Signs for the Atkin-Lehner involutions |
Class |
97290k |
Isogeny class |
Conductor |
97290 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
5013504 |
Modular degree for the optimal curve |
Δ |
1.6822530233919E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3046590,-542529900] |
[a1,a2,a3,a4,a6] |
j |
4289812404667843868641/2307617316038246400 |
j-invariant |
L |
1.4597846050498 |
L(r)(E,1)/r! |
Ω |
0.1216487302515 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32430be1 |
Quadratic twists by: -3 |