Atkin-Lehner |
2+ 3+ 5+ 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
99990a |
Isogeny class |
Conductor |
99990 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
3029697000000 = 26 · 33 · 56 · 11 · 1012 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11550,-467500] |
[a1,a2,a3,a4,a6] |
Generators |
[175:1600:1] |
Generators of the group modulo torsion |
j |
6311419556349627/112211000000 |
j-invariant |
L |
4.6155455346723 |
L(r)(E,1)/r! |
Ω |
0.46102118248878 |
Real period |
R |
2.5028923364401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999203 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99990q1 |
Quadratic twists by: -3 |