Atkin-Lehner |
2+ 3- 7- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
23142q |
Isogeny class |
Conductor |
23142 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
19130458850244 = 22 · 38 · 74 · 192 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-50292,4331710] |
[a1,a2,a3,a4,a6] |
Generators |
[1757:72201:1] [-205:2559:1] |
Generators of the group modulo torsion |
j |
14067211569038857657/19130458850244 |
j-invariant |
L |
6.1355060436459 |
L(r)(E,1)/r! |
Ω |
0.68539728547019 |
Real period |
R |
0.55948445647081 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
69426bx2 |
Quadratic twists by: -3 |