Atkin-Lehner |
2+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23030l |
Isogeny class |
Conductor |
23030 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.174584698052E+19 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 0 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-764573,305556696] |
[a1,a2,a3,a4,a6] |
Generators |
[302:9959:1] |
Generators of the group modulo torsion |
j |
-420137578066337209/99838052006560 |
j-invariant |
L |
2.8816864669386 |
L(r)(E,1)/r! |
Ω |
0.21569397317711 |
Real period |
R |
6.6800347373925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115150cm2 3290b2 |
Quadratic twists by: 5 -7 |