Atkin-Lehner |
2- 3- 5+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
99990v |
Isogeny class |
Conductor |
99990 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
924672 |
Modular degree for the optimal curve |
Δ |
21305996082310500 = 22 · 320 · 53 · 112 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-273308,-54476773] |
[a1,a2,a3,a4,a6] |
Generators |
[51532313040:3856759729681:8998912] |
Generators of the group modulo torsion |
j |
3097075027851225721/29226332074500 |
j-invariant |
L |
11.061567723893 |
L(r)(E,1)/r! |
Ω |
0.20892190384503 |
Real period |
R |
13.236486345749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012297 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33330e1 |
Quadratic twists by: -3 |