Atkin-Lehner |
2+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
1922b |
Isogeny class |
Conductor |
1922 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
61504 = 26 · 312 |
Discriminant |
Eigenvalues |
2+ -1 -3 -1 -3 -5 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-159,709] |
[a1,a2,a3,a4,a6] |
Generators |
[22:81:1] [1:23:1] |
Generators of the group modulo torsion |
j |
467145913/64 |
j-invariant |
L |
2.03705265371 |
L(r)(E,1)/r! |
Ω |
3.3788043060121 |
Real period |
R |
0.30144578809837 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999903 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15376v2 61504p2 17298u2 48050u2 |
Quadratic twists by: -4 8 -3 5 |