Atkin-Lehner |
2- 7- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
101332m |
Isogeny class |
Conductor |
101332 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-824294071216 = -1 · 24 · 77 · 113 · 47 |
Discriminant |
Eigenvalues |
2- 2 -3 7- 11- 4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2417,-62446] |
[a1,a2,a3,a4,a6] |
Generators |
[145:1617:1] |
Generators of the group modulo torsion |
j |
-829898752/437899 |
j-invariant |
L |
8.0359810357197 |
L(r)(E,1)/r! |
Ω |
0.33220904296457 |
Real period |
R |
0.67193142240802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029597 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14476d1 |
Quadratic twists by: -7 |