Atkin-Lehner |
3- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83259g |
Isogeny class |
Conductor |
83259 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
11760 |
Modular degree for the optimal curve |
Δ |
-6743979 = -1 · 36 · 11 · 292 |
Discriminant |
Eigenvalues |
-1 3- 2 -2 11+ 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,16,118] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:10:1] [2:11:1] |
Generators of the group modulo torsion |
j |
783/11 |
j-invariant |
L |
7.6436021372305 |
L(r)(E,1)/r! |
Ω |
1.7556269706582 |
Real period |
R |
4.3537734751396 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000182 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9251c1 83259o1 |
Quadratic twists by: -3 29 |