Atkin-Lehner |
2+ 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
113256ba |
Isogeny class |
Conductor |
113256 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-1385307525888 = -1 · 28 · 37 · 114 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -4 -3 11- 13- -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1452,60500] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:-286:1] [22:-198:1] |
Generators of the group modulo torsion |
j |
-123904/507 |
j-invariant |
L |
8.3630480552782 |
L(r)(E,1)/r! |
Ω |
0.74518691115671 |
Real period |
R |
0.11690366881029 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005226 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37752t1 113256bq1 |
Quadratic twists by: -3 -11 |