Atkin-Lehner |
2- 3+ 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
99600br |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
25497600000000 = 218 · 3 · 58 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -2 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7408,37312] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:500:1] [-24:448:1] |
Generators of the group modulo torsion |
j |
702595369/398400 |
j-invariant |
L |
8.5526429283978 |
L(r)(E,1)/r! |
Ω |
0.57671354213126 |
Real period |
R |
3.7074918062295 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000497 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12450z1 19920o1 |
Quadratic twists by: -4 5 |