Atkin-Lehner |
2+ 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
84216h |
Isogeny class |
Conductor |
84216 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
27126142032 = 24 · 3 · 117 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38639,-2936298] |
[a1,a2,a3,a4,a6] |
Generators |
[-20256301774751562:-132891586460920:178234927725933] |
Generators of the group modulo torsion |
j |
225079785472/957 |
j-invariant |
L |
8.2655926249533 |
L(r)(E,1)/r! |
Ω |
0.34051971348453 |
Real period |
R |
24.273462880089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996949 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7656j1 |
Quadratic twists by: -11 |