Atkin-Lehner |
2+ 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
89298y |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7257600 |
Modular degree for the optimal curve |
Δ |
-2.235480282993E+21 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 11- 6 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2593476,2786150736] |
[a1,a2,a3,a4,a6] |
Generators |
[-789:66279:1] |
Generators of the group modulo torsion |
j |
-1493780780062297/1730960687104 |
j-invariant |
L |
2.8284205043026 |
L(r)(E,1)/r! |
Ω |
0.13233735638749 |
Real period |
R |
1.3358003076081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008398 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9922e1 8118t1 |
Quadratic twists by: -3 -11 |