Atkin-Lehner |
11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9251c |
Isogeny class |
Conductor |
9251 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
840 |
Modular degree for the optimal curve |
Δ |
-9251 = -1 · 11 · 292 |
Discriminant |
Eigenvalues |
1 -3 -2 -2 11- 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2,-5] |
[a1,a2,a3,a4,a6] |
Generators |
[2:1:1] [6:11:1] |
Generators of the group modulo torsion |
j |
783/11 |
j-invariant |
L |
4.0828308284916 |
L(r)(E,1)/r! |
Ω |
2.0087407704393 |
Real period |
R |
2.0325324644054 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83259g1 101761d1 9251b1 |
Quadratic twists by: -3 -11 29 |