Atkin-Lehner |
3- 7- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42021k |
Isogeny class |
Conductor |
42021 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
18391100604270723 = 314 · 78 · 23 · 29 |
Discriminant |
Eigenvalues |
1 3- 2 7- 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-68481,-2220386] |
[a1,a2,a3,a4,a6] |
j |
48720308734104337/25227847193787 |
j-invariant |
L |
2.4980286659977 |
L(r)(E,1)/r! |
Ω |
0.31225358325477 |
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 |
14007f4 |
Quadratic twists by: -3 |