Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
94864bs |
Isogeny class |
Conductor |
94864 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
228096 |
Modular degree for the optimal curve |
Δ |
547096625152 = 223 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 1 -4 7- 11+ -3 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19840,-1081676] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:22:1] |
Generators of the group modulo torsion |
j |
3233229419/2048 |
j-invariant |
L |
3.4034019764903 |
L(r)(E,1)/r! |
Ω |
0.4022803559366 |
Real period |
R |
2.1150684614312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007378 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11858bb1 94864bc1 94864br1 |
Quadratic twists by: -4 -7 -11 |