Atkin-Lehner |
2+ 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840j |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
15799671014400 = 210 · 32 · 52 · 74 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7560,168192] |
[a1,a2,a3,a4,a6] |
j |
46670944188964/15429366225 |
j-invariant |
L |
2.5728777918888 |
L(r)(E,1)/r! |
Ω |
0.64321944797221 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
10920t3 87360gd3 65520ba3 109200bn3 |
Quadratic twists by: -4 8 -3 5 |