Atkin-Lehner |
2+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20230c |
Isogeny class |
Conductor |
20230 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1931037381591080 = -1 · 23 · 5 · 76 · 177 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ -6 -7 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1609013,-786248267] |
[a1,a2,a3,a4,a6] |
Generators |
[201684:10109239:64] |
Generators of the group modulo torsion |
j |
-19085751483878521/80001320 |
j-invariant |
L |
1.4169253748366 |
L(r)(E,1)/r! |
Ω |
0.067023873972337 |
Real period |
R |
5.2851517334756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101150ci2 1190c2 |
Quadratic twists by: 5 17 |