Atkin-Lehner |
2+ 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
37752f |
Isogeny class |
Conductor |
37752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-47278059409152 = -1 · 28 · 36 · 117 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 11- 13- -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1412,329716] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:486:1] |
Generators of the group modulo torsion |
j |
686000/104247 |
j-invariant |
L |
3.0005298775912 |
L(r)(E,1)/r! |
Ω |
0.49052889439527 |
Real period |
R |
3.058463947666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999949 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75504u1 113256bs1 3432f1 |
Quadratic twists by: -4 -3 -11 |