Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200gf |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
16667370000000000 = 210 · 35 · 510 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 2 -6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-70833,3774537] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:2451:1] |
Generators of the group modulo torsion |
j |
3930400000/1666737 |
j-invariant |
L |
3.9530600971372 |
L(r)(E,1)/r! |
Ω |
0.35284185638296 |
Real period |
R |
3.7344965653824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999867983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91200df1 22800z1 91200ji1 |
Quadratic twists by: -4 8 5 |