Atkin-Lehner |
2+ 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
9840c |
Isogeny class |
Conductor |
9840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1394288640 = 211 · 34 · 5 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -6 -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-336,-1440] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:18:1] [-6:18:1] |
Generators of the group modulo torsion |
j |
2054487458/680805 |
j-invariant |
L |
4.7170287730991 |
L(r)(E,1)/r! |
Ω |
1.1444517945954 |
Real period |
R |
2.0608245779227 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4920i2 39360df2 29520r2 49200bf2 |
Quadratic twists by: -4 8 -3 5 |