Atkin-Lehner |
2+ 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850bh |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
89791877700000000 = 28 · 39 · 58 · 74 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-118917,6454741] |
[a1,a2,a3,a4,a6] |
j |
16327137318409/7882963200 |
j-invariant |
L |
1.2084761305931 |
L(r)(E,1)/r! |
Ω |
0.30211903215909 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19950bq1 11970cg1 |
Quadratic twists by: -3 5 |