Atkin-Lehner |
3+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
94221f |
Isogeny class |
Conductor |
94221 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
13298129861103 = 33 · 198 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 4 -4 6 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-167933,-26445546] |
[a1,a2,a3,a4,a6] |
Generators |
[-65153985:32969559:274625] |
Generators of the group modulo torsion |
j |
412329167307/10469 |
j-invariant |
L |
5.6263941384502 |
L(r)(E,1)/r! |
Ω |
0.23583942467592 |
Real period |
R |
11.928442751249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999768625 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94221c2 4959a2 |
Quadratic twists by: -3 -19 |