Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200gk |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
134479872000000 = 224 · 33 · 56 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12833,-38463] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:700:1] |
Generators of the group modulo torsion |
j |
57066625/32832 |
j-invariant |
L |
2.5331620706186 |
L(r)(E,1)/r! |
Ω |
0.48793110861966 |
Real period |
R |
2.595819404237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999654463 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200dh1 22800db1 3648bh1 |
Quadratic twists by: -4 8 5 |