Atkin-Lehner |
2+ 3- 7- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
29946k |
Isogeny class |
Conductor |
29946 |
Conductor |
∏ cp |
378 |
Product of Tamagawa factors cp |
deg |
22250592 |
Modular degree for the optimal curve |
Δ |
-5.9996844817502E+26 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -6 -1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-241791497,1866265294412] |
[a1,a2,a3,a4,a6] |
j |
-1563316032752341120190464006537/599968448175017237520605184 |
j-invariant |
L |
2.0340167300958 |
L(r)(E,1)/r! |
Ω |
0.04842896976422 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
89838bf1 |
Quadratic twists by: -3 |