Atkin-Lehner |
2- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
118096ba |
Isogeny class |
Conductor |
118096 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-115261696 = -1 · 28 · 112 · 612 |
Discriminant |
Eigenvalues |
2- -2 1 -2 11- -5 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-260,-1784] |
[a1,a2,a3,a4,a6] |
Generators |
[99:976:1] |
Generators of the group modulo torsion |
j |
-62992336/3721 |
j-invariant |
L |
3.1193017695763 |
L(r)(E,1)/r! |
Ω |
0.59224634756209 |
Real period |
R |
2.6334496042837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998407484 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29524h1 118096bj1 |
Quadratic twists by: -4 -11 |