Atkin-Lehner |
2+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
84568h |
Isogeny class |
Conductor |
84568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
234000 |
Modular degree for the optimal curve |
Δ |
-2499210365696 = -1 · 28 · 11 · 316 |
Discriminant |
Eigenvalues |
2+ 3 -3 -2 11- 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3844,-119164] |
[a1,a2,a3,a4,a6] |
Generators |
[65862:379486:729] |
Generators of the group modulo torsion |
j |
-27648/11 |
j-invariant |
L |
9.9693529502675 |
L(r)(E,1)/r! |
Ω |
0.29732286520843 |
Real period |
R |
8.3825986153697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88a1 |
Quadratic twists by: -31 |