Atkin-Lehner |
2+ 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
62622bb |
Isogeny class |
Conductor |
62622 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-61024916608863228 = -1 · 22 · 36 · 77 · 714 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,19542,11833856] |
[a1,a2,a3,a4,a6] |
j |
9622822383/711527068 |
j-invariant |
L |
2.1420657630112 |
L(r)(E,1)/r! |
Ω |
0.2677582198101 |
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 |
6958k4 8946k4 |
Quadratic twists by: -3 -7 |