Atkin-Lehner |
2+ 3- 29+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
31842i |
Isogeny class |
Conductor |
31842 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8268800 |
Modular degree for the optimal curve |
Δ |
-2.0693359649301E+24 |
Discriminant |
Eigenvalues |
2+ 3- 3 -3 -4 0 -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-141629418,652468187092] |
[a1,a2,a3,a4,a6] |
Generators |
[-9082733:1522779730:1331] |
Generators of the group modulo torsion |
j |
-430979484188171322005146273/2838595287969989258976 |
j-invariant |
L |
4.0522621865542 |
L(r)(E,1)/r! |
Ω |
0.083099207863948 |
Real period |
R |
6.095518673879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10614n1 |
Quadratic twists by: -3 |