Atkin-Lehner |
2+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
102080u |
Isogeny class |
Conductor |
102080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
63042974720 = 210 · 5 · 114 · 292 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5445,156005] |
[a1,a2,a3,a4,a6] |
Generators |
[-2193:6380:27] |
Generators of the group modulo torsion |
j |
17438019764224/61565405 |
j-invariant |
L |
12.670484346259 |
L(r)(E,1)/r! |
Ω |
1.1104499896244 |
Real period |
R |
2.8525562749486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002036 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102080bp1 6380a1 |
Quadratic twists by: -4 8 |