Atkin-Lehner |
2+ 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
9840j |
Isogeny class |
Conductor |
9840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
21520080 = 24 · 38 · 5 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-95,-312] |
[a1,a2,a3,a4,a6] |
j |
5988775936/1345005 |
j-invariant |
L |
3.1048697980766 |
L(r)(E,1)/r! |
Ω |
1.5524348990383 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4920f1 39360bq1 29520e1 49200g1 |
Quadratic twists by: -4 8 -3 5 |