Atkin-Lehner |
3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
28899l |
Isogeny class |
Conductor |
28899 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2365440 |
Modular degree for the optimal curve |
Δ |
-4.3973578227536E+21 |
Discriminant |
Eigenvalues |
1 3- 3 -5 0 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7949538,9200063133] |
[a1,a2,a3,a4,a6] |
Generators |
[704420:46973367:125] |
Generators of the group modulo torsion |
j |
-15789259762088617/1249695380349 |
j-invariant |
L |
6.6331125252397 |
L(r)(E,1)/r! |
Ω |
0.13533363995738 |
Real period |
R |
6.126629461205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9633n1 2223a1 |
Quadratic twists by: -3 13 |