Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200dy |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-896532480000000 = -1 · 226 · 32 · 57 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,19967,-939937] |
[a1,a2,a3,a4,a6] |
Generators |
[1062236:8268975:21952] |
Generators of the group modulo torsion |
j |
214921799/218880 |
j-invariant |
L |
10.399324962297 |
L(r)(E,1)/r! |
Ω |
0.27070144678205 |
Real period |
R |
9.604053721978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011779 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200fn1 2850p1 18240l1 |
Quadratic twists by: -4 8 5 |