Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200dr |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
9573811200 = 210 · 39 · 52 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -4 -4 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-239313,44980983] |
[a1,a2,a3,a4,a6] |
Generators |
[282:3:1] |
Generators of the group modulo torsion |
j |
59208551269469440/373977 |
j-invariant |
L |
7.5519264930504 |
L(r)(E,1)/r! |
Ω |
0.88591859728753 |
Real period |
R |
0.9471558056193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011265 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91200fd1 11400w1 91200cc1 |
Quadratic twists by: -4 8 5 |