Atkin-Lehner |
2+ 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
19550k |
Isogeny class |
Conductor |
19550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
29568 |
Modular degree for the optimal curve |
Δ |
-1438880000000 = -1 · 211 · 57 · 17 · 232 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 -6 -3 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1000,-56000] |
[a1,a2,a3,a4,a6] |
Generators |
[45:265:1] |
Generators of the group modulo torsion |
j |
7066834559/92088320 |
j-invariant |
L |
2.4435408357696 |
L(r)(E,1)/r! |
Ω |
0.41782158113022 |
Real period |
R |
0.73103596909706 |
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 |
3910m1 |
Quadratic twists by: 5 |