Atkin-Lehner |
2+ 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150da |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
-1.36157231232E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 11+ -5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2065617,1273656541] |
[a1,a2,a3,a4,a6] |
Generators |
[594:-16297:1] |
Generators of the group modulo torsion |
j |
-684566528248637/95627575296 |
j-invariant |
L |
2.6449539101512 |
L(r)(E,1)/r! |
Ω |
0.17843630286503 |
Real period |
R |
1.8528698129211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999897473 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28050cx1 84150gu1 |
Quadratic twists by: -3 5 |